o level maths d p2 question 11

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--- ----- • 2030272524 111111111111111111111111111111111111111111111111111111111111 24 For ExaminerS Use 11 (a) D. ~---------""'-----";;;;:"".A E p B is the midpoint of OD and E is the midpoint of OA. C is the point on AB such that'AC: CB = 2 : 1. --7 --7 ~ __ OA = P and OB = q. ----' (i) Find, in terms of p and q, --7 .:» r-? (a) AB, ~~ 01> ~ ~ '.". ~ '1-'( Answer [1] - ". ;t '1 - JY- :r-J.. \"I~ -,1) ~ L( ':I Answer 1~L [1] ,- r-... \ - - I- Answer [1] (ii) Use your answers to parts (i) (b) and (i)(c). to make two statements about the points E, C and D. ' f c c)-v\cA \ t( c-»; ~Q S O\~ Answer , . \ ' rf'. r-"' ~ .... \ . R.. : ~ --:: ~ [2] f\) 1- c.\) 1-- .---;-- '~ t l.!.UCLES 2012 4029/02/01N1I2 For Examiner's Use ..J b~i~E C~iiE Cif cHE elf C.tE CIE cis ClE CIE crE CFE G·rE CtE CIJE C:CE 61h: e;;I~E e<~E 6'NE . 61~E erE C rE CIE CIE CIE CIE '-".1 r

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O Level Maths D P2 Question 11November 2012 O Level Mathematics Syllabus D Paper 2Binyamine Kurmally , Email :: [email protected], Home Number :: 216 8248, Mobile Number :: 712 5974Facebook Page: https://www.facebook.com/BinyamineKurmallyZMathsTeacher

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Page 1: O Level Maths D P2 Question 11

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• 2030272524 •

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ForExaminerS

Use

11 (a)D.

~---------""'-----";;;;:"".AE p

B is the midpoint of OD and E is the midpoint of OA.C is the point on AB such that'AC: CB = 2 : 1.--7 --7 ~ __

OA = P and OB = q. ----'

(i) Find, in terms of p and q,--7 .:» r-?

(a) AB, ~~ 01> ~ ~'.". ~ '1-'(

Answer [1]

-". ;t '1 - JY-:r-J.. \"I~-,1)~ L( ':I

Answer 1 ~L [1],- r-...

\-- I-

Answer [1]

(ii) Use your answers to parts (i) (b) and (i)(c). to make two statements about thepoints E, C and D. '

f c c)-v\cA \ t ( c-»; ~Q SO\~Answer , .

\' rf'. r-"' ~.... \ . R.. : ~ --:: ~ [2]

f\) 1- c.\) 1--.---;-- '~

t

l.!.UCLES 2012 4029/02/01N1I2

ForExaminer's

Use

..J

b~i~EC~iiECifcHEelfC.tECIEcisClECIEcrECFEG·rECtECIJEC:CE61h:e;;I~Ee<~E6'NE

. 61~EerEC rECIECIECIECIE'-".1 r

Page 2: O Level Maths D P2 Question 11

II* 2030272525 *

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F,orExaminers

Use

25(b)

:··········:··········:········..i··········:·····7· . .· . .· . .

y........... : : : : 8 .

.......... : : : .

· . .: ~ : ~ : 6 [ ····:L~········>·······

+-..,.,6-~--,~1~ ~ : .

: •••••••••• : 0 0" 0 0 ••• -.+--~. _....;to :r---I- : : -.

-5 -4 -3 -2 -1 °· .· . . . .· . . . .: ~ ~ ~ : -}· .. .· .. .· .. .

.......... : ; : :· . . .· . . .· . . .· . . .· . . .· . . .· . . .· . . .· . . .: ·..·:..· ·:·..·..·..·: ·..·:..·-2 .......... : : : : .

The diagram shows triangle A and line L... ,(i) Triangle A is mapped onto triangle B by a reflection in line L.

Draw and label triangle B.

(ii) Triangle A is mapped onto triangle C by an anticlockwise rotation of 90°,centre (0,3).

Draw and label triangle C.

(iii) Triangle C is mapped onto triangle D by a reflection in line L.rI

Describe the single transformation that maps triangle B onto triangle D.

Answer I..~:.\:.'3 s L<0.(.,~.~.0Z 0?.~ . £. ..........q ~ c.(? ~ \.<?..1.?-z2 ..: [3]

l!.UCLES 2012 4029/02/0/N/12

[2]

ForExaminer's

Use

[2]