Question

Q3B Solve
(1) Two circles with centres M and
N intersect each other at P and
Q. The tangents drawn from
point R on the line PO touch the
circles at S and T.
Prove that, RS = RT.
М.
N​

Answer 1

Answer:

Step-by-step explanation:

Given 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. we have to prove that RS=RT

By tangent secant theorem which states that when a tangent and a secant construct from one single external point to a circle then square of length of tangent must be equal to the product of lengths of whole secant segment and the exterior portion of secant segment.

RQP is a secant to a circle intersecting it at Q and P and RS is a tangent then

Similarly, RQP is a secant to a circle intersecting it at Q and P and RT is a tangent then

Hence, from above two we get

⇒ RS=RT