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In the figure, the circles with centers ...

In the figure, the circles with centers P and Q touch each other at R.A line passing through R meets the circles at A and B respectively. Prove that
`triangle APR ~ triangle RQB`

Text Solution

Verified by Experts

In `triangle APR " and " triangle RQB`,
`/_PAR cong /_QRB" " "………"[" From (i) and (iii) "]`
`/_PRA cong /_QBR " " "……."[" From (ii) and (iii) " ]`
`:.triangle APR ~ triangle RQB " " "……"(" A A test of similarity "]`.
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