Q. 45.0( 6 Votes )

Prove that the ta

Answer :


Let PQ be a diameter of a circle with center O, AB and CD are two tangents drawn at the ends P and Q respectively.


To Show: AB || CD


Now, we know


Tangent at any point is perpendicular to the radius at the point of contact


OP AB and OQ CD


⇒ ∠OPA = OQD [Both 90°]


AB || CD [If two lines are cut by a transversal and the alternate interior angles are equal, then the lines are parallel]


Hence, Proved.


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