Question

Circles with center M and N intersect each other at A and
B. AC and AD are diameters of circles with center M and N respectively. Prove that AB⊥CD.

Answer 1

Step-by-step explanation:

In the situation shown, AP is a tangent to circle and QR is

any chord meeting A, by properly

of circles, AP

2

=QA.RA

In the given situation for circle I ,RS

2

= RQ .QP

and for circle II,RT

2

=RQ.QP

⇒RT

2

=RS

2

⇒ RT = RS

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