Question

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Answer 1

Answer:

Let the point of intersection of the circles be O

Step-by-step explanation:

Tangents from same external point are equal in length:

RP=OR.....(1)

QR= OR.....(2)

From 1 and 2,

RP=QR

Hence R is the mid point

Answer 2

Step-by-step explanation:

P and Rare tangents to the circle

PR perpendicular to PQ

RO is perpendicular to Rr

In smaller circle,

QR is perpendicular to QO

since R is common at all cases

R is the centre of the circle.