Question

In Fig. 1, 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

• (A) 3 cm

• (B) 4 cm

• (C) 5 cm

• (D) 6 cm

Answer 1

Since `APbotPB,CA botAP,CBbotBP `

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.