Question

Two circles intersect at P and Q. Through P diameters PA and PB of the two circles are drawn. Show that the points A, Q and B are
collinear.

Ans with diagram
Please help.. ​

Answer 1

Let O and ' O be the centres of two intersecting circle, where

Points of intersection are P and Q and PA and PB are their diameter respectively.

Join PQ, AQ and QB.

∴ ∠AQP = 90° and

∠BQP = 90° (Angle in a semicircle is a right angle)

Adding both these angles,

∠AQP + ∠BQP = 180°

∠AQB = 180°

Hence, the points A, Q and B are collinear.