Question

Two circles intersect at points A and B.The points P and Q are the other ends of the diameter through A

Then P,B,Q_________

• A. are vertices of a triangle
• B. lies on a straight line
• C. lies inside the circle
• D. None of these

Answer 1

The correct option is B

lies on a straight line

Join AP,PB and BQ

In $△ABP$ and $△ABQ$

$\angle ABP=\angle ABQ={90}^{\circ }$ (angle in semi-circle)

$\angle ABP+\angle ABQ=90+90={180}^{\circ }$

So,PBQ is a straight line.

So,P,B,Q lies on a straight line.