Question

The figure shows a circle with centre O. If OP is perpendicular to AB, then AP = BP.

State true or false

• A. True
• B. False

Answer 1

The correct option is A True

In $△$s OAP and OBP,

$OP=OP$...... (Common)

$OA=OB$ .......... (Radius of circle)

$\angle OPA=\angle OPB={90}^0$ ........... (Given)

Thus, $△OPA\cong △OPB$ ........... (RHS rule)

Hence, $PA=PB$ ...... (By cpct)