Question

Prove that the lengths of the tangents drawn from an external point to a circle are equal.​

Answer 1

Step-by-step explanation:

HERE IS YOUR ANSWER:

GIVEN:

PA and PB are two tangents. O is the centre of the circle.

Prove:

The lengths of the tangents drawn from an external point to a circle are equal.

PA= PB

PROOF:

JOIN OA, OB AND OP

OA perpendicular to PA -------1

OAP = OAB (USING 1)

OA = OB (Radii)

OP= OP (common side)

Therefore PA= PB

hence proved.