AB is chord of the circle x2 +y2 = 25 whose middle point is M. Then match the following loci of M in various condition

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A-R,B-P,C-Q

A-Q,B-P,C-R

A-P,B-R,C-Q

A-Q,B-R,C-P

answer is A.

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Detailed Solution

Let M(x1,y1) be a mid point of ABA) sin60° =x12+y125⇒32=x2+y25⇒x2+y2=754B) y1+2x1y1x1=-1⇒x12+y12+2y1=0C) 225-d2=8⇒x2+y2=9

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