Question

(1) Two circles with centres M and
N intersect each other at P and
Q. The tangents drawn from
point R on the line PQ touch the
circles at S and T.
Prove that, RS = RT.​

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