In the given figure, the circles with centres P and Q touch each other at R. A line passing through R meets the circles at A and B respectively. Prove that – (1) seg AP || seg BQ,(2) ∆APR ~ ∆RQB, and(3) Find ∠ RQB if ∠ PAR = 35°

In the given figure, the circles with centres P and Q touch each other

1.	In the given figure, the circles with centres P and Q touch each other at R. A line passing through R meets the circles at A and B respectively. Prove that – (1) seg AP \|\| seg BQ,(2) ∆APR ~ ∆RQB, and(3) Find ∠ RQB if ∠ PAR = 35°
Answer» In the given figure, the circles with centres P and Q touch each other at R. A line passing through R meets the circles at A and B respectively. Prove that – (1) seg AP \|\| seg BQ, (2) ∆APR ~ ∆RQB, and (3) Find ∠ RQB if ∠ PAR = 35°