Question

In the given figure, PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA ⊥ PB, then the length of each tangent is ______.

Options

• 3 cm

• 4 cm

• 5 cm

• 6 cm

Answer 1

In the given figure, PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA ⊥ PB, then the length of each tangent is 4 cm.

Explanation:

Since AP ⊥ PB, CA ⊥ AP, CB ⊥ BP

And AC = CB = radius of the circle, therefore APBC is a square having side equal to 4 cm.

Therefore, length of each tangent is 4 cm.