IIT JEE , AIEEE Forum - Mathematics , Analytical Geometry - Please solve some JEE questions from circles for me...

Conjurer

1) The locus of the chord of a circle whose midpoint is given is S = T

Use this in the first case taking x1,y1 as the midpoint:

x1^2 + y1^2 - r^2 = xx1 + yy1 -r^2

This gives x1^2 +y1^2 = xx1+yy1

This line passes through (h,k)

SO putting x= h and y=k

We get the locus as x1^2 +y1^2 = hx1 +ky1

Writing in general form we get x^2 + y^2 = hx + ky

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