1st pu maths march 2014.pdf
TRANSCRIPT
-
8/20/2019 1st PU Maths March 2014.pdf
1/4
PUC
FIRST
YEAR
Code
:
35
Date
:
d
DIST.
LEVEL
ANNUAL
EXAM
Subject
:
MATHEMATICS
FEB
/
MARCH
2014
Duration
:
3
Hrs
15
Min.
Max.
Marks
:
1OO
i)
ii)
The question
paper
has
five-.parts-
A,
B, C,
D and
E.
Answer
att
tfre
parts.
Use
the graph
paper
sheet
for
tne quesiion'Jn
Lin. ,
Inequarities
in
part
-
D.
PART
-
A
Answer
ALL
the
following
questions.
1.
\l/rite
the
set
{x:
x
e
R
and
_4
<
x
S
6}
as
interval.
2.
Convert
52Oo
in
radian
measure.
3.
Express
i9
+
119
in
the
form
a
+
ib.
4'
How
many
three
digit
numbers
can
be
formed
by
using
digits
,1
to
g,
if
no
digit
repeated
?
5
Find
the
12th
term
of
a
G.p.
whose
gth
term
is
1g2
and
whose
common
ratio
is
2.
6.
Find
the
distance
between
parallel
lines
1Sx
+
gy
_
34
=
0
and
15x
+
gy
+
31
=
0.
7
Evaruate
*
5_. +#
8
write
the
negation
of
the
statement.
,,Ail
tringres
are
not
equiraterar.,,
9
A
box
contains
1 red,
3
identical
white
balls.
Two
balls
are
drawn
at
random
in
succession
with
out
replacement.
write
the
sampre
space
for
thrs
expirement.
10.
Find
the
domain
of
the
real
valued
function
f
(x)
=
ffi
PART
-
B
Answer
any
TEN
of
the
following
questions.
1Ox2=2O
11
LetA
=
i1,2)
and
B
=
t3,4),
writeAx
B.
How
many
subsets
wi,A
x B
have
?
12.
If
A
=
{
3,
6,
g,
12,
15,
1A,
Z1i,
B
=
{
4,
B, 12,
16,20
}
and
C
=
{
2,
4,
6,
B,
40,
12,
14,
16}
Find
(A
_
B)
u
(C
_
A)
13,
Letf
:R-+
R
andg:R-+
Rarethefunctionsdefined
byf
(x)
=x+ l
and
g
(x)
=
2x
-3.
Find
f
+
g
and
fg.
,.
14.
Show
that
Sin2
*
+
o
15.
Find the general solution
of
cos
4x
=
cos
2x.
16.
Evaluate
lim
x
-->
-2
Determine
n,
if
2nC3
:
nC,
=
12
:
1.
write
the
contra
positive
and
converse
of
,,If
x.is
prime
number
then
x
is
ddd,,.
A
coin
is
tossed
twice-
wt'at
is
the
probabirity
that
at
reast
one
tair,occurs
?
Instructions
:
10x1=10
cos2
f
-tan2
+
=-+
17.
18
19.
(P.T.O.)
For More Question Papers Visit - www.pediawikiblog.com
For More Question Papers Visit - www.pediawikiblog.com
http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/
-
8/20/2019 1st PU Maths March 2014.pdf
2/4
MATHEMATICS
P.U.C.
FTRST YEAR
PAGE
NO.
:
2A.
rn
a
triangreABc,
with
vertices
A(2,3),
B
(4,
-
1)
and
c
(1,2).
Find
the
rength
of the
attitude
from
the
vertex
A.
21
.
Represent
the
complex
number 6
*
i
in
the
pclar
form.
22'
write
the
sorution
set
of
-
12
x
>
30.
when
x is
an
integer.
23'
Find
the
equation
of a
line
that
cuts
off
equal
intercepts
on
the
co-ordinate
axes
and passes
through
the
point
(2,
3)
24.
Find
the
co-ordinates
of
the
point
which
divides
the
line
segment joining
the
points
(-2,3,5)
and
(1,
-4,6)
externaily
in
the
ratio
2
:
3.
PART
-
C
Answer
any
TEN
of the
following
qu8stions.
10
x
3
=
30
25.
In
a
group
of 70
peopr.,
,,
,,*.
coffee,
s2
rike
tea
and
each person
rikes
at
reast
one of
the two
drinks.
How
many peopre
rike
both
coffee
and
tea
?
26'
IfA=
{
1,
2,
g,
5I and
B
=
{4,
6,
9}.
Determine
reration
R from
Ato
B
by
R
=
{(x,
y):
the
difference
between
x
and
y
is
odd,
x
eA, y
€ B}
,1
zr.
prove
that
cos
(+
-
-)
-cos
(+
_r)
=
_*
sinx.
28.
Solve
the
equation
*2
.*
x
*
1
^12
=Q.
29'
ttow
n(any
words
with
or witnout
meaning
can
be
formed
using
the
retters
of the word
MoNDAy
assuming
that
no
retter
is
repeated
if.
i)
4
letters
are
used
at
a
time.
ii)
All
letters
are
used
at
a
time,
and
iii)
All
letters
are
used
but
first
letter
is
vowel
?
30. If x+iv - a+ib',
;f
,
Prove
thal
x2
+
y2
=
1.
31.
Find
the
middle.term
in
the
expansion
of
(+
.
nr
ro
32.
How
many
terms
of
A.p.
:6,
+
-5
...............
are
needed
to
give
the
sum
-25
?
2
- '
qre
i
Find
the
mean
deviation
about
the
median
for
data.
13,
17,
16;
tq,11,
13,
10,
16,
.t1,
i8,
12,
12.
Find
the
derivative
of
Sinx
wr.t.x.
from
the
first
principles.
Find
the
focus
length
of
the
latusrectum
and
equation
of
the
directrix
of
the
parabola
x2
=
-gy.
33.
34.
35.
For More Question Papers Visit - www.pediawikiblog.com
For More Question Papers Visit - www.pediawikiblog.com
http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/
-
8/20/2019 1st PU Maths March 2014.pdf
3/4
-
MATHEMATIGS P.U.C. FIRST
YEAR
PAGE.,NO;.3
Insert three
nunrbers
between 1
and
25Q
s9-
that thd resulting sequence,ig
a G.p.
Show'that
the
statement
P :
If
x
is real number
such that
13
i
+x
=
g,
16s6,:-'
xis.O,istruebythemethodofcontradictioh.]
In class PUC
I
year
of
a
college,
4OP/o of students study
mathematics, and
307o
I
study Biology
and
10%
of class study both Mathematics
and Biology,
If a student
is
selected
at
random from
the class,
find the
probability
that he
will be
studying
Mathematics
or
Biology.
PART
-
D
31
Define Signum
function,
Draw
the
graph
of the
signum function.
Write
the
//
,/- r---
-:- --
domain and range of
the function.
36.
37,
38.
40.
Prove
geometfically
Pt
=
1,
0 being measured
in radian.
'
0
--+
0
o
'-
-: -
41. Prove
by
the method of mathematical
induction.
.aa
13+23+33+
*n3=
n 1n+1;
4
42.
In
a
group
of
7
boys and 5 girls, find
the
number
of
days in which a
team,of 5
members
can be
selected
so
as
to
have atleast
one boy and
one
girl.
43.
For all real numbers
a, b
and
positive
integer
n,
prove
that
(a
*
b)n
=
an.
+
nc.,an-lb
*
nc2an-2
b2
+
.....
*
ngrai=i
br
+
......
*
nCn_,
a
bn-1
+
bn
44. Derive
the
expression
for the
co-ordinates
of the
point
which
divideq
the
line
joining
the
points
A
(x.,
y.,
21)
and
B
(x2yzzr)
inte'rnally in
the
r.atio
m : n. Hence
find
the
co-ordinates
of the mid
point
of the line
joining
A
(1,
*2,
3)
and
45.
Derive
the formula for the angle
between
the
lines
whose slopes are
ml and
m,
and state
the
conditions for two lines
are Parallel
and Perpendicular.
46. Prove
that
Sin5x*2Sin3x+Sinx
=
tanx.
Cos5x
*
Cosx
47.
Solve the
linear inequalities graphically,
3x
+
4y
:
60,
x
+
3y
<
30 and
x>0,y>0.
For More Question Papers Visit - www.pediawikiblog.com
For More Question Papers Visit - www.pediawikiblog.com
http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/http://www.pediawikiblog.com/
-
8/20/2019 1st PU Maths March 2014.pdf
4/4
MATHEMATIGS
PU.C.
FIRST
YEAR
48.
Find
the
mean diviation about
the
mean
for the
data.
PART
-
E
Answer'any
ONE
of
the
following
questions.
49.
a)
Prove geometrically
Cos (A
+
B)
=
CosA
CosB
-
SinA
SinB
and
evaluate
Cos
105o.
b) Findthe.sumton-termsof
theseries3xg+6x
11
+9x
14+
PAGE
NO. 4
10
x 1
=
10
t6I
ri\
t4I
50.
a)
Define
hyperbora
as
a
set
of
points
and derive
its
equation
rardform
* *
- 1
a'
bt
b)
Differentiate
j:lll-fl
w.r.t.i.
4Cosx
+
1
t6l
t4j
8*{