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Question

The equation to the locus of the midpoints of chords of the circle x2+y2=r2 having a constant length 2l is


Your Answer
A
Correct Answer
B
Your Answer
C
Your Answer
D

Solution

The correct option is B

Let P(x1,y1) be a point on the locus
Then P is the mid point of a chord AB of the circle x2+y2=r2
Now OP2+AP2=OA2x21+y21=r2l2
 The locus of P is x2+y2=r2l2

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