Let O be the centre of two cocentric circles let P and Q be any two points on the circumference - Maths - Circles

Question

Let O be the centre of two cocentric circles let P and Q be any two
points on the circumference of the outer circle from which two
tangents PT and QS are drawn to the smaller circle prove that PT=QS

Anuradha Sharma · Accepted Answer

In triangle OTP and OSQ, OP=OQ= radius of bigger circle∠OTP=∠OSQ=90 degree OT=OS =radius of smaller circelSo △OTP≅△OSQ RHSSo PT=SQ by cpct

Let O be the centre of two cocentric circles.let P and Q be any two points on the circumference of the outer circle from which two tangents PT and QS are drawn to the smaller circle.prove that PT=QS.