Question

In the given figure PA = 2 cm and PB = 8 cm, the value of PT is equal to

• A. 3 cm
• B. 4 cm
• C. 5 cm
• D. 6 cm

Answer 1

The correct option is B 4 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
$2\times 8=P{T}^2$
$P{T}^2=16$
$PT=4cm$