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Two circles  and  both passes through the points  and  and touch the line  at  and  respectively. The possible coordinates of a points  such that the quadrilateral  is a parallelogram is  then the value of  is



Question ID - 153531 | SaraNextGen Top Answer

Two circles  and  both passes through the points  and  and touch the line  at  and  respectively. The possible coordinates of a points  such that the quadrilateral  is a parallelogram is  then the value of  is

1 Answer
127 votes
Answer Key / Explanation : (4) -

(4)

The radical axis bisects the common tangent

Hence  is the mid point of

Let

Now  lies on common chord  which is  or

  (1)

Also  lies on

   …(2)

Solving (1) and (2)  and

127 votes


127