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Q.

Let the locus of the mid points of the chords of circle x2+(y−1)2=11 drawn from the origin intersect the line x+y = 1 at P and Q. Then, the length of PQ is :

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a

12

b

1

c

12

d

2

answer is A.

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Detailed Solution

Question Image

mOM⋅mCM=−1
kh⋅k−1h=−1
∴locus isx2+y(y−1)=0
x2+y2−y=0
Question Image
p=|1/22| p=122
PQ=2r2−p2
=214−18=12

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