7/30/2019 ACJC JC 2 H2 Maths 2011 Year End Exam Paper 2 Annex B

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ANNEX BACJC H2 Maths Preliminary Examination Paper 2

Qn/No Top ic Set Answ ers1 System of Equations

3 25 31 8

22 6 3

f x x x x

2 Summation/Method ofDifference

1

2P ,

1

2Q

(i)1 1 1

2 20 ( 1)( 2)n n

, (ii)

1

4.

3 Complex Numbers(a)(i)

1Im 2z t

t

(a)(ii)1

2y x

x

(a)(iii)

(b)

3 29

2

y x

1

2y x

x

1 2

1

2

1 2

5-2 (5, -2)

0 x

y

7/30/2019 ACJC JC 2 H2 Maths 2011 Year End Exam Paper 2 Annex B

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4 Vectors

(ii) r =

4 2

3 1 ,

4 1

IR

(iii) 6

(iv) (4,3,4) cannot be a pt on plane 3 ,

therefore

4

3 . 20

4

a

b

c

4 3 4 20a b c

We also need 1l to be parallel to 3 ,

therefore

1

. 2 0 2 4 0

4

a

b a b c

c

5 Graphing

Techniques/Transform

ations

(a) Sequence of transformations:

EITHER (1) Scaling parallel to thex-axis by factor 3

(2) Translation in the negativex-axis direction

by kunits

OR (1) Translation in the negativex-axis

direction by 3

kunits

(2) Scaling parallel to thex-axis by factor 3

(b)(i)

(b)(ii) 3a k .

O x

y

3 ,0k

3 ,0k

( ,0)k

3

x ky

3

x ky

2

0, 19

k

2

0, 19

k

2C

, 0k

0,1

0, 1

1C

7/30/2019 ACJC JC 2 H2 Maths 2011 Year End Exam Paper 2 Annex B

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7/30/2019 ACJC JC 2 H2 Maths 2011 Year End Exam Paper 2 Annex B

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