Question

Answer based on the following diagram.
From "$P$'' tangents PA and PB are drawn. $CA=BC=radius$
If radius is $3$ units and $PA=4$ units, what is the length of PC?

• A. $3$ units
• B. $4$ units
• C. $5$ units
• D. $7$ units

Answer 1

The correct option is C $5$ units

In $△PAC$,

$\angle PAC={90}^{\circ }$ ....Tangent is perpendicular to the radius

Hence, $PC=\sqrt{P{A}^2+A{C}^2}=\sqrt{3^2+4^2}=5$ units.

So, option C is correct.