Question

Point $P$ is in the exterior of the circle. A tangent is drawn from point $P$ that touches the circle at $T$. If $PT=8$, then $OP$ is:

• A. $7$
• B. $13$
• C. $17$
• D. $23$

Answer 1

The correct option is C $17$

$P$ is in the exterior of $\odot \left(0.15\right)$.

For $△PTO,m\angle OTP={90}^o$
${OP}^2={OT}^2+{PT}^2$ ........... [By Pythagoras theorem]
$⟹{OP}^2={\left(15\right)}^2+{\left(8\right)}^2=289$
$\therefore$ $OP=17$