Section A (6 marks) St. Bonaventure College and High School Form 4, Quiz 6 (Ch6: Equation of...

MathematicsSt.BonaventureCollegeandHighSchool

Form4,Quiz6(Ch6:EquationofStraightLine–FindingEquationbyusingPointSlopeForm,SlopeInterceptForm&TwoPointForm)

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Name: Class: ()Date: Mark: /34

Time:48min,FullMarks:34SectionA(6marks)(WorkingstepsareNOTrequiredinthissection.)1. Refertothefigure.Findtheequations

ofABandBC.

AB:_________________

BC:_________________

2. Findtheequationofthestraightlinepassingthroughtheoriginandwithslope–3. ____________________

3. Ifthey-interceptandtheslopeofthestraightlineLare–2and4respectively,findtheequationofL. ____________________

4. ItisgiventhatP(2,–3)andQ(6,5)arepointsonthestraightlineL.FindtheequationofL. ____________________

5. Findtheequationofthestraightlinewithinclination45°andx-intercept7. ____________________

6. IfthestraightlineL:3x–4y+9=0cutsthex-axisatthepointA,findthecoordinatesofA. ____________________



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SectionB(19marks)1. Inthefigure,thestraightlineLcutsthex-axisand y-

axisatAandBrespectively.IfOA=2OB,findtheequationofL.(5marks)



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2. Inthefigure,thestraightlineL2cutsthestraightlineL1:

xy31

= at )2,32(P ,andcutsthex-axisatQsuchthatPQ=

OQ.(a)FindtheinclinationofL2.(b)Hence,findtheequationofL2.(Leavethesquarerootsign‘ ’inyouranswer.)(5marks)



4

3. 2010MATHPaperIQ12



5

4. HKDSESamplePaper/Q13



6



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Solution:Question Answers/Solutions Marks RemarksSectionA

1 AB:x=4,BC:y=5 1 1Mforallcorrect2 y=–3x 1 3 y=4x–2 1 4 y=2x–7 1 5 y=x–7 1 6 (–3,0) 1 1Mforallcorrect

SectionB1

units 6units 32

2

=

×=

= OBOA

CoordinatesofA=(6,0)

SlopeofL

216003

−=

−−

=

TheequationofLis

321

+−= xy

11

1

1+1

AnswermarkMethodmark

Answermark

MethodmarkAnswermark

2 (a) LetθbetheinclinationofL2.

31tan

of slopetan 1

=∠

=∠

POQ

LPOQ

∴ ∠POQ=30° Consider△POQ. ∵ PQ=OQ

∴

°=

∠=∠

30POQOPQ

(base∠s,isos△)

°=

°+°=

∠+∠=

603030

OPQPOQθ

(ext.∠of△)

∴ TheinclinationofL2is60°.(b)

3

60tan of Slope 2

=

°=L

TheequationofL2is

∴

43

)32(32

−=

−=−

xy

xy

1

11

1+1

MethodmarkAnswermarkAnswermark

MethodmarkAnswermark



8

3.2010MATHPaperIQ12



9

4. HKDSESamplePaper/Q13



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Section A (6 marks) St. Bonaventure College and High School Form 4, Quiz 6 (Ch6: Equation of...

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