Question

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Answer 1

Solution.

Given :-Two congruent circles intersect each other at P and Q . The line passing through P intersects the circles at A and B.

TO PROVE :- AQ=BQ

CONSTRUCTION.

Join PQ

Proof:- Since PQ=PQ

$\begin{array}{lrlrl}\Rightarrow & & P N Q & =P R Q \\ \Rightarrow & & \angle A & =\angle B \\ \Rightarrow & & B Q & =A Q\end{array}$

[Sides opposite to equal angles]