Question

In the given figure PA = 3 cm and PB = 6 cm, the value of PT is equal to

• A. $2\sqrt{2}cm$
• B. $3\sqrt{2}cm$
• C. $2\sqrt{3}cm$
• D. $3\sqrt{3}cm$

Answer 1

The correct option is B $3\sqrt{2}cm$

If a secant AB and tangent at the point T of a circle intersect at a point P outside the circle then $PA\times PB=P{T}^2$
Substituting the value we get
$3\times 6=P{T}^2$
$P{T}^2=18$
$PT=3\sqrt{2}cm$