Question

The line joining the centre of a circle and the point from which two tangents are drawn bisects the angle between the tangents. State whether True or False.

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• A. True
• B. False

Answer 1

The correct option is A

True

In $△$OMP and $△$ONP,

OM = ON [radius]

OP = OP [common side]

$\angle$OMP = $\angle$ONP [right angle triangle]

So, by R.H.S criterion,

$△$OMP $\cong$ $△$ONP

So, $\angle$MPO = $\angle$NPO

Hence OP bisects $\angle$MPN