Q. 224.7( 6 Votes )

Prove that the le

Answer :

Given : A circle with center O , two tangents PT and PQ are drawn from an external point P

to the points T and Q on circle.

To prove : PT = PQ

Construction : Join OP

Proof :

In POT and POQ

OT = OQ [radii of same circle]

PTO = PQO = 90° [tangent drawn at a point on a circle is perpendicular to the radius through point of contact]

OP = OP [common]

POT POQ [By RHS criterion]


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