#### 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:

(A) 3 cm

(B) 4 cm

(C) 5 cm

(D) 6 cm

#### Solution

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.

Is there an error in this question or solution?

Solution 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: Concept: Circles Examples and Solutions.