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Question

The perpendicular from origin on the line joining the points P(acosα,asinα),Q(acosβ,asinβ) divides PQ in the ratio

A
5:3
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B
2:7
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C
1:1
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D
3:4
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Solution

The correct option is C 1:1

As O is the center and r from the origin to the line PQ

(PDO)=90o

OA=acos2α+a2sin2α=a2=a

OB=a2cos2β+a2sin2β=a2=a

OA=OB=a

OAB is isosceles.

Hence OD bisect PQ

PD=DQ

PD:DQ=1:1

1346289_1239779_ans_8ac93061972e496eaa614faabf4230e2.png

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