previous year examination questoins...2018/04/10  · maths made easy 1 previous years public...

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SET-6 : SET AND FUNCTION 2 Marks: 1. Given A={1,2,3,4,5}, B={3,4,5,6} and C={5,6,7,8}, Show That A∪(BC) =(AB)C. 2. If ACB, then find A∩B and A\B (Use Venn diagram). 3. Let P = {a, b, c}, Q = {g, h, x, y} and R = {a, e, f, s} find the following. (i)P\R (ii)QR (iii)R\(P∩Q). Ans: {a, e, f, s} 4. A={4,6,7,8,9}, B={2,4,6}and C={1,2,3,4,5,6} then find (i)A∪(BC) (ii)A(BC) 5. Given A={a,x,y,r,s}, B={1,3,5,7,-10}, Verify the commutative property of set Union. 6. Verify the commutative property of set intersection for A={l,m,n,o,2,3,4,7} and B={2,5,3,-2,m,n,o,p}. 7. For A={x\x is a prime factor of 42}, B={x \ 5< x ≤ 12, x € N} and C={1,4,5,6}, Verify A(BC)=( AB) C. 8. For A={5,10,15,20}; B={6,10,12,18,24} and C={7,10,12,14,21,28}, Verify whether A\(B\C)=(A\B)\C. Justify your answer. 9. Draw Venn diagram of three sets A, B and C. Find A(BC). 10. Let U = {4, 8, 12, 16, 20, 24, 28}, A = {8, 16, 24} B = {4, 16, 20, 28} find (AB)’ and (A∩B)’. Ans: (AB)’ = {12} (A∩B)’ = {4, 8, 12, 20, 24, 28} 11. Let A={10,15,20,25,30,35,40,45,50}, B={1,5,10,15,20,30}and C={7,8,15,20,35,45,48}.Find A\(B∩C). 12. Given n(A) = 285, n(B) = 195, n(U) = 500, n(AB) = 410, find n(A’B’). Ans: 430 MARKETU Maths Made Easy PREVIOUS YEAR EXAMINATION QUESTOINS Facebook Link: https://www.facebook.com/mathsmadeeasyforyou/ YouTube Channel Link: https://www.youtube.com/channel/UCStej8QnkGkOVoLITAprPAQ www.Padasalai.Net www.TrbTnpsc.com http://www.trbtnpsc.com/2013/09/10th-study-materials.html www.Padasalai.Net

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Page 1: PREVIOUS YEAR EXAMINATION QUESTOINS...2018/04/10  · MATHS MADE EASY 1 PREVIOUS YEARS PUBLIC EXAMINATION QUETIONS SET-1 : 2. SEQUENCE AND SERIES 2marks: 1. Give an example for a function

SET-6 : SET AND FUNCTION

2 Marks:

1. Given A={1,2,3,4,5}, B={3,4,5,6} and C={5,6,7,8}, Show That A∪(B∪C) =(A∪B)∪C.

2. If ACB, then find A∩B and A\B (Use Venn diagram).

3. Let P = {a, b, c}, Q = {g, h, x, y} and R = {a, e, f, s} find the following.

(i)P\R (ii)Q∩R (iii)R\(P∩Q).

Ans: {a, e, f, s}

4. A={4,6,7,8,9}, B={2,4,6}and C={1,2,3,4,5,6} then find (i)A∪(B∩C) (ii)A∩ (B∪C)

5. Given A={a,x,y,r,s}, B={1,3,5,7,-10}, Verify the commutative property of set Union.

6. Verify the commutative property of set intersection for A={l,m,n,o,2,3,4,7} and

B={2,5,3,-2,m,n,o,p}.

7. For A={x\x is a prime factor of 42}, B={x \ 5< x ≤ 12, x € N} and C={1,4,5,6}, Verify

A∪ (B∪C)=( A∪B) ∪C.

8. For A={5,10,15,20}; B={6,10,12,18,24} and C={7,10,12,14,21,28}, Verify whether

A\(B\C)=(A\B)\C. Justify your answer.

9. Draw Venn diagram of three sets A, B and C. Find A∪ (B∩C).

10. Let U = {4, 8, 12, 16, 20, 24, 28}, A = {8, 16, 24} B = {4, 16, 20, 28} find (A∪B)’

and (A∩B)’.

Ans: (A∪B)’ = {12} (A∩B)’ = {4, 8, 12, 20, 24, 28}

11. Let A={10,15,20,25,30,35,40,45,50}, B={1,5,10,15,20,30}and C={7,8,15,20,35,45,48}.Find

A\(B∩C).

12. Given n(A) = 285, n(B) = 195, n(U) = 500, n(A∪B) = 410, find n(A’∪B’).

Ans: 430

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PREVIOUS YEAR EXAMINATION QUESTOINS

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Page 2: PREVIOUS YEAR EXAMINATION QUESTOINS...2018/04/10  · MATHS MADE EASY 1 PREVIOUS YEARS PUBLIC EXAMINATION QUETIONS SET-1 : 2. SEQUENCE AND SERIES 2marks: 1. Give an example for a function

13. Let A={1,2,3,4} and B={-1,2,3,4,5,6,7,9,11,12}. Let R={(1,3),(2,6),(3,10),(4,9)} be a

relation. Show that R is a function and find its domain, Co-domain and the range of R.

14. Let X={1,2,3,4}. Examine whether each of the relations given below is a function from X to

X or not Explain.

i) f={(2,3),(1,4),(2,1),(3,2),(4,4)}

ii) g={(3,1),(4,2),(2,1)}

iii) h={(2,1),(3,4),(1,4),(4,3)}

15. Which of the following relations are function from A = {1, 4, 9, 16} to

B = {-1, 2, -3, -4, 5, 6}? If it is function. Write down its range.

i) f1={(1,-1),(4,2),(9,-3),(16,-4)}

ii) f2={(4,2),(1,2),(9,2),(16,2)}.

16. Let A = {1, 2, 3, 4, 5}, B = N and f : A→B be defined by f(x) = x2. Find the range

of f Identify the type of function.

Ans: {1, 4, 9, 16, 25}

17. For the given function F = {(1, 3) (2, 5) (4, 7) (5, 9) (3, 1)}, write the domain and

range.

Ans: Domain = {1, 2, 4, 5, 3} Range = {3, 5, 7, 9, 1}

18. If R = {(a, -2), (-5, 6), (8, c), (d, -1)} represents the identify function, find the values

of a, b, c and d.

Ans: a = -2 b = -5 c = 8 d = -1

19. Write the pre-image of 2 and 3 in the function f = {(12, 2), (13, 3), (15, 3), (14, 2),

(17, 17)}.

Ans: Pre-image of 2 is {12, 14} 3 is {13, 15}

20. The following table represents a function from A = {5, 6, 8, 10} to

B = {19, 15, 9,11} where f(x) = 2x - 1. For what values of a and b it represents a

one - one function?

X 5 6 8 10

F(x) A 11 B 19

Ans: 9 = a 15 = b.

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Page 3: PREVIOUS YEAR EXAMINATION QUESTOINS...2018/04/10  · MATHS MADE EASY 1 PREVIOUS YEARS PUBLIC EXAMINATION QUETIONS SET-1 : 2. SEQUENCE AND SERIES 2marks: 1. Give an example for a function

21. Let A={5,6,7,8}; B={-11,4,7,-10,-7,-9,-13} and f={(x,y): y=3-2x ; x € A, y € B}.

i) Write down the elements of f .

ii) What is the codomain?

iii) What is the range?

iv) Identify the type of function.

5 marks:

1. Verify this using Venn Diagram (A∩B)`= A`∪B`

2. Use Venn diagram, Verify the De Morgan’s Law for set Difference.

A\(B∩C) = (A\B)∪ (A\C).

3. Let U={-2,-1,0,1,2,……10}, A={-2,2,3,4,5} and B={1,3,5,8,9}. Verify Demorgan’s law of

complementation.

4. Let A={a,b,c,d,e,f,g,x,y,z},B={1,2,c,d,e}and C={d,e,f,g,2,y} verify A\(B∪C)=(A\B) ∩ (A\C)

5. Using venn diagram,verify the following. (i) A\(B∪C) = (A\B) ∩ (A\C) (ii) (A∪B)`= A`∩B`

6. A radio station 190 students to determine the types of music they liked. The survey revealed

that 114 liked rock music, 50 liked folk music, and 41 liked classical music, 14 liked rock

and folk music, 15 liked rock and classical music, 11 liked classical and folk music, and 5

liked all the three of music. find

i) How many did not like any of the 3 types?

ii) How many liked any two types only?

iii) How many liked folk music but not rock music?

7. In a town 85% of the people speak Tamil, 40% speak English and 20% speak

Hindi. Also, 32% speak English and Tamil, 13% speak Tamil and Hindi and

10% speak English and Hindi. Find the percentage of people who can speak

All the three languages.

Ans: All three languages speak Percentage = 30%

8. In a school of 4000 students, 2000 know French, 3000 know Tamil and 500 know Hindi,

1500 know French and Tamil, 300 know French and Hindi, 200 know Tamil and Hindi, and

50 know all the three languages. Find

i) How many do not know any of the three languages?

ii) How many at least know one language?

iii) How many know only two languages?

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Page 4: PREVIOUS YEAR EXAMINATION QUESTOINS...2018/04/10  · MATHS MADE EASY 1 PREVIOUS YEARS PUBLIC EXAMINATION QUETIONS SET-1 : 2. SEQUENCE AND SERIES 2marks: 1. Give an example for a function

9. Let |x|={x if x≥0

-x if x<0 where x€R. Does the relation {(x,y)\ y=|x|, x€R} define a function? Find

its range.

10. Let A = {0, 1, 2, 3} and B = {1,3,5,7,9} be two sets. Let f : A → B be a function

given by f(x) = 2x + 1. Represent this function as (i) a set of ordered pairs (ii) a

table (iii) an arrow diagram and (iv) a graph.

11. A function f : [1, 6) → R is defined as follows :

1+x, 1≤x<2

F(x)= 2x-1, 2≤x<4

3x2-10, 4≤x<6

Find the value of i) f(5) ii) f(3) iii) f(1) iv) f(2) - f(4) v) 2f(5) - 3 f(1)

Ans: i) 65 ii) 5 iii) 2 iv) -35 v) 124

12. If x={1,2,3,4,5}, Y={1,3,5,7,9}determine which of the following relations from x to y are

functions? Give reason for your answer. If it is a function, state its type.

i) R1={(x,y)\y=x+2,x€X, y€Y}

ii) R2={(1,1),(2,1),(3,3),(4,3),(5,5)}

iii) R3={(1,1),(1,3),(3,5),(3,1),(5,7)}

iv) R4={(1,3),(2,5),(4,7),(5,9),(3,1)}

13. Let A = {6, 9, 15, 18, 21}, B = { 1, 2, 4, 5, 6} and f : A → B be defined by

f(x) = x −3 Represent f by, (i) an arrow diagram (ii) a set of ordered pairs.(iii) a table

3

(iv)a graph.

14. Let A = {4, 6, 8, 10} and B = { 3, 4, 5, 6, 7}. If f : A → B is defined by f(x) = 1⁄2 (x+1)

then represent f by (1) an arrow diagram (2) a set of ordered pairs and (3) a

table.

15. A function f : [-3, 7] → R is defined as follows :

4x2-1; -3≤x<2

F(x)= 3x-2 ; 2 ≤x≤4

2x-3 ; 4<x<7

Find i)f(5)+f(6) ii)f(1)-f(-3)

iii)f(-2)-f(4) iv)f(3)-f(-1)

2f(6)-f(1)

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Page 5: PREVIOUS YEAR EXAMINATION QUESTOINS...2018/04/10  · MATHS MADE EASY 1 PREVIOUS YEARS PUBLIC EXAMINATION QUETIONS SET-1 : 2. SEQUENCE AND SERIES 2marks: 1. Give an example for a function

16. A function f:[-7,6) →R is defined as follows :

x2+2x+1; -7≤x< -5

F(x)= x+5 ; -5≤x≤ 2

x-1 ; 2<x< 6

Find (i) 2f(-4)+3f(2) (ii) f(-7)-f(-3) (iii) 4f(-3)+2f(4)

f(-6)-3f(1)

17. If f: N→N is defined by f(x)=x2-1, check whether f is not a function, find for what choice of

the co-domain, f will be a function?

18. Let A=z\{0} and f:A→R be defined by f(x)=|x|/x, x€A. Find the range and type of the

function. Is it one-to-one?

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Page 6: PREVIOUS YEAR EXAMINATION QUESTOINS...2018/04/10  · MATHS MADE EASY 1 PREVIOUS YEARS PUBLIC EXAMINATION QUETIONS SET-1 : 2. SEQUENCE AND SERIES 2marks: 1. Give an example for a function

MATHS MADE EASY

1

PREVIOUS YEARS PUBLIC EXAMINATION QUETIONS

SET-1 : 2. SEQUENCE AND SERIES

2marks:

1. Give an example for a function which is not a sequence.

2. Find the 12thterm of the A.P. √2, 3√2, 5√2…….

3. Find the first term and common difference of the A.P. 1/2 , 5/6 , 7/6 ,

3/2 , ……….,17/6

4. Find the 17th term of the A.P: 4, 9, 14…….

5. In an A.P 5 times of the fifth term is equal to 7 times of the seventh

term. Prove that 12th term is 0.

6. Write the first three terms of the sequence whose nth term is given by

an= n (n-2)/3.

7. In a flower garden, there are 23 rose plants in a first row, 21 in the

second row and 19 in the third row and so on. There are 5 rose plants in

the last row. How many rows are there in the flower garden?

8. If -2/7, m,-7(m+2)/2 are in G.P. Find the values of m.

9. Find the number of terms in the arithmetic series 5+11+17+……+95.

10. In an arithmetic series Sn=1275. First term a=3, common difference d=4.

Find n.

11. How many two digit numbers are divisible by 13?

12. Find the sum of the arithmetic series 5+11+17+……..+95.

13. Find the sum of the series 31+33+35+………. +53?

14. Find the sum of the series 13+23+33+……….+203.

15. Find the sum of the first 10 terms of the series 12-22+32-42+………

5marks:

1. If 7 times the 7th term of an Arithmetic progression is equal to 11 times

its 11th term, show that its 18th term is zero. Can you find the first term

and the common difference? Justify your answer.

2. If the 10th and 18th terms of an A.P. are 41 and 73 respectively. Find the

27th term.

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Page 7: PREVIOUS YEAR EXAMINATION QUESTOINS...2018/04/10  · MATHS MADE EASY 1 PREVIOUS YEARS PUBLIC EXAMINATION QUETIONS SET-1 : 2. SEQUENCE AND SERIES 2marks: 1. Give an example for a function

MATHS MADE EASY

2

3. The sum of four consecutive terms of an A.P. is 20 and the sum of their

squares is 120. Find those numbers.

4. The 4th term of a geometric sequence is 2/3 and the seventh term is

16/81. Find the geometric sequence.

5. If a, b, c and d are in geometric sequence, then prove that,

(b-c)2+(c-a)2+(d-b)2=(a-d)2.

6. If the 4th and 7th terms of a G.P. are 54 and 1458 respectively, find the

G.P.

7. A gardener plans to construct a trapezoidal shaped structure in his

garden. The longer side of trapezoid needs to start with a row of 97

bricks. Each row must be decreased by 2 bricks on each end and the

construction should stop at 2500th row. How many bricks does he need

to buy?

8. If 1/x+y, 1/2y, 1/y+z are three consecutive terms of an A.P. then prove

that x, y, z are three consecutive terms of a G.P.

9. In an arithmetic series, the sum of the first 14 terms is -203 and the sum

of the next 11 terms is -572. Find the arithmetic series.

10. The ratio of the sums of first m and first n terms of an arithmetic series is

m2:n2. Show that the ratio of the mth and nth terms is (2m-1):(2n-1).

11. Find the sum of all 3 digit natural numbers is divisible by 9.

12. Find the sum to n terms of the series 6+66+666+………..

13. Find the sum to first n terms of the series 7+77+777+………..

14. Find the sum of the first 2n terms of the series 12-22+32-42+………

15. Find the sum of the series 122+132+142+…..+352.

16. Find the sum of all natural numbers between 300 and 500 which are

divisible by 11.

17. Find the sum of the series 2+4(3)2+6(5)2+8(7)2+…….+22(21)2.

18. Find the total area of 14 squares whose sides are 11cm, 12cm, 13cm,

………24cm.

19. Find the total volume of 15 cubes whose edges are 16 cm, 17cm, 18cm,

…………..,30cm respectively.

20. If s1, s2 and s3 are the sum of first n, 2n and 3n terms of a geometric

series respectively, then prove that s1(s3-s2)=( s2-s1)2.

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Page 8: PREVIOUS YEAR EXAMINATION QUESTOINS...2018/04/10  · MATHS MADE EASY 1 PREVIOUS YEARS PUBLIC EXAMINATION QUETIONS SET-1 : 2. SEQUENCE AND SERIES 2marks: 1. Give an example for a function

MATHS MADE EASY

PREVIOUS YEARS PUBLIC EXAMINATION QUESTIONS

SET-4 : ALGEBRA

2MARKS:

1. Solve by Elimination Method:

3x-5y= -16

2x+5y= 31

2. Solve by Elimination Method:

13x+11y=70

11x+13y=74

3. Solve: 3x+5y=25

7x+6y=30

4. Form a quadratic equation whose roots are 3,4.

5. Form a quadratic equation whose roots are 3+√7, 3-√7.

6. Form a quadratic equation where sum and product of the roots are -4 and 3.

7. If -5 is a root of the quadratic equation 2x2+px-15=0. Find the value of p.

8. Form a quadratic equation whose roots are 7+√3,7-√3.

9. Solve x and y if 2x+y 5

x-3y = 13

10. Solve: 3x-8/x = 2

11. Solve : x+ 1 = 26

x 5

12. Form a quadratic equation with zeros at x=1/4, -1.

13. Find the value of k for which the roots are real and equal in 12x2+4kx+3=0.

14. If α and β are the roots of the equation 3x2-6x+4=0.Find α

2 +β

2?

15. If α and β are the roots of the equation 3x2-5x+2=0.Find the value of α + β

β α

16. If the sum and product of the roots of the quadratic equation ax2-5x+c=0 are both equal to

10. Then find the value of a and c.

17. Determine the nature of the roots of the equation (x-2a)(x-2b)=4ab.

18. Find L.C.M of 3(a-1),2(a-1)2,(a

2-1).

19. Find L.C.M of x2y+xy

2, x

2+xy

20. Find G.C.D of m2-3m-18, m

2+5m+6.

21. Simplify 6x2+9x

3x2-12x

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MATHS MADE EASY

22. Simplify x3 + 8

x-2 2-x

23. Simplify 5x+20

7x+28

24. Simplify x2-4 x a

3-a

a2-1 x

3+2x

2

25. Find the quotient and remainder when 3x3-17x

2+31x+12 is divided by (3x-2).

26. If the product of two consecutive even numbers is 24. Find the numbers?

27. If the sum of two consecutive odd numbers is 20. Find the numbers?

28. The base of a triangle is 4cm longer than its altitude. The area of triangle is 48cm2. Then

find its base and altitude.

5marks:

1. The cost of 11 pencils and 3 erasers is Rs.50 and the cost of 8 pencils and 3 erasers is

Rs.38. Find the cost of each pencil and each eraser.

2. Factorize: x3-3x

2-10x+24

3. Factorize: x3-23x

2+142x-120

4. Factorize: x3-5x

2-2x+24

5. Factorize: 2x3-3x

2-3x+2

6. Find the G.C.D of 3x4+6x

3-12x

2-24x and 4x

4+14x

3+8x

2-8x

7. Find the L.C.M of x3+y

3, x

3-y

3, x

4+x

2y

2+y

4

8. If P= x/x+y , Q=y/x+y then find 1/P-Q – 2Q/P2-Q

2

9. Simplify 1/x2+3x+2 + 1/x

2+5x+6 – 2/x

2+4x+3

10. Which rational expression should be subtracted from 4x3-7x

2+5 to get 2x

2-5x+1 ?

2x-1

11. Simplify a2-16 x 2a

2-3a-2 ÷ 3a

2-11a-4

a3-8 2a

2+9a+4 a

2+2a+4

12. Find the square root of x4-10x

3+37x

2-60x+36

13. Find the square root of 4+25x2-12x-24x

3+16x

4

14. Find the square root of x4-6x

3+19x

2-30x+25

15. Find the square root of 4x4+8x

3+8x

2+4x+1

16. If m-nx+28x2+12x

3+9x

4 is a perfect square, then find the values of m and n.

17. If 16x4-12x

3+(a-1)x

2+(b+1)x+49 is a perfect square. Find a,b.

18. If 4x4-12x

3+37x

2+ax+b is a perfect square. Find a,b.

19. If x4-4x

3+10x

2-ax+b is a perfect square. Find a,b.

20. Solve x + x+1 = 61

x+1 x 30

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MATHS MADE EASY

21. Sum of two numbers is 24 and sum of their reciprocals is 1/6 , find the numbers.

22. The sum of the numerator and denominator of a fraction is 12. If 3 is added to the

denominator, it is 2 times of the numerator. Find the fraction.

23. One year ago, a man was 8 times as old as his son. Now his age is equal to the square of

the his son’s age. Find their present ages.

24. Speed of a boat in still water is 15km/hr. it goes 30km upstream and return downstream

to the original point in 4hr 30 min. Find the speed of the stream.

25. The length of a verandah is 3m more than its verandah. The numerical value of its area is

equal to the numerical value of its perimeter. Find the length and breadth of the verandah.

26. The train covers a distance of 90km at a uniform speed. Had the speed been 15km/hr

more, it would have taken 30 minutes less for the journey. Find the original speed of the

train.

27. A car left 30 minutes later than the scheduled time. In order to reach its destination

150km away in time, it has to increase its speed by 15km/hr from its usual speed. Find its

usual speed.

28. If one root of the equation 2x2-ax+64=0 is twice the other, then find the value of a.

29. If α and β are roots of 3x2-6x+1=0.then form an equation whose roots are:

i) α2β, β

2α ii)2α+β,2β+α iii)1/α , 1/β

30. If the equation (1+m2)x

2+2mcx+c

2–a

2=0 has equal roots, then P.T c

2=a

2(1+m

2).

31. If α and β are the roots of the equation x2-3x+1=0 then form a quadratic equation whose

roots are 1/ α+β and 1/ αβ .

32. If α and β are the roots of the equation 3x2-4x+1=0 form a quadratic equation whose

roots are α2 / β and β

2/ α .

33. If α and β are the roots of the equation 3x2-6x+4=0 find the values of α

2+β

2 .

34. if a quadratic equation is divided by (x-2) and (x+1) leaves the remainder 11 and 1

respectively. Find the polynomial.

35. Person A takes 6 days less than time taken by person B finish a work. If both A and B

together can finish it in 4 days. Find the time taken by B to finish that work by himself.

36. The sum of the reciprocals of (x+2) and (x-2) is equal to 6 times the reciprocal of 4x+7.

Find x.

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MATHS MADE EASY

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MATHS MADE EASY

1

4.MATRICES

2MARKS:

1. Construct a 2x3 matrix A=[aij] whose elements area given by aij=|2i-3j|.

2. If A= 8 5 2 then find AT

and (AT )

T .

1 -3 4

3. A matrix consist of 30 elements. What are the possible order it can have?

4. Construct a 2x2 matrix A=[aij] whose elements are given by

i) aij =2i-j

ii) aij = i-j/i+j

5. If A= 5 6 -2 3 and B= 3 -1 4 7 ,then find A+B?

1 0 4 2 2 8 2 3

6. Solve for x and y if 2x+y = 5

x-3y 13

7x+y

7. Find = 9Y+zx,y and z if

z- 05

8. If A= 2 3 _ 1 5 then find the additive inverse of A.

-9 5 7 -1

9. 8and B=23Let A= -1 find the matrix C if C=2A+B.

5 1 34

10) If A= 4 -2 and B= 8 2 find 6A-3B.

5 -9 -1 -3

PREVIOUS YEARS PUBLIC EXAMINATION QUETIONS

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MATHS MADE EASY

2

11) Determine whether each matrix product is defined or not. If the product is

defined, state the dimension of the product matrix.

i) A2x5 and B5x4 ii) A1x3 and B4x3

12. Solve 3 2 x = 8

4 5 y 13

13. If A= 1 3 , then verify AI=IA=A, where I is the unit matrix of order 2.

9 -6

14. Find the product of the matrices, if exists,

i) 3 -2 4 1 ii) 2 9 -3 4 2

5 1 2 7 4 -1 0 -6 7

-2 1

iii) 6 2 -7

-3

2MARKS:

1. If A= a b and I2= 1 0 then show that A2-(a+d)A=(bc-ad)I2.

c d 0 1

2. If A= 3 2 B= -2 5 and C= 1 1 verify that A(B+C)=AB+AC.

-1 4 6 7 -5 3

-2

3. If A= 4 and B= 1 -3 6 , then verify that (AB)T=BTAT.

5

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MATHS MADE EASY

3

4) If A= 1 -1 then show that A2-4A+5I2=0

2 3

5) If A= 5 2 and B= 2 -1 verify that (AB)T=BTAT.

7 3 -1 1

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MATHS MADE EASY

PREVIOUS YEARS PUBLIC EXAMINATION QUESTIONS

SET-5 : TRIGONOMETRY

2MARKS:

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MATHS MADE EASY

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MATHS MADE EASY

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MATHS MADE EASY

5 MARKS:

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MATHS MADE EASY

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PREVIOUS YEARS PUBLIC EXAMINATION

QUESTIONS

SET-3 : MENSURATION

2marks: 1. 2. 3. 4.

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6. 7.

8.

9.

10.

11.

12.

13.

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14.

15.

16.

17.

18.

19.

20.

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21. 22. 23. 24. 25. 26.

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5marks: 1. 2. 3. 4. 5. 6.

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7. 8. 9.

10.

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11. 12. 13. 14. 15.

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16. 17. 18. 19. 20. 21. 22.

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23. 24. Facebook Link: https://www.facebook.com/mathsmadeeasyforyou/

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