The Total solution for NCERT class 6-12
Two congruent circles intersect each other at points A and B. ThroughA any line segment PAQ is drawn so that P, Q lie on the two circles. Prove thatBP = BQ.
The diagram will be
Here, ∠APB = ∠AQB (as AB is the common chord in both thecongruent circles.)
Now, consider ΔBPQ,
∠APB = ∠AQB
So, the anglesopposite to equal sides of a triangle.
∴ BQ = BP