First slide
Definition of a circle

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

A. when AB subtends 60° at centreP. x2+y2+2y=0
B. when AB always passes through (0, - 2)Q. x2+y2=9
C. when AB has constant length 8R. x2+y2=754


Let M(x1,y1) be a mid point of AB

A) sin60° =x12+y12532=x2+y25x2+y2=754

B) y1+2x1y1x1=-1x12+y12+2y1=0

C) 225-d2=8x2+y2=9

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