Question

The locus of a point P with $\angle APB$ as ${90}^{\circ }$ will be a circle if AB is the diameter.

• A. True
• B. False

Answer 1

The correct option is A

True

Join AB and draw a circle with AB as diameter.

The locus of point P is the circumference of this circle since the angle in a semicircle is ${90}^{\circ }$.
Therefore, whatever be the position of point P, the measure of $\angle APB$ will always be ${90}^{\circ }$. So the given statement is true.