InterviewSolution
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InterviewSolution
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The lengths of tangents drwan from an external point...to a circle are equal prove it |
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Answer» Construct a circle with centre O. Draw 2 tangents namely TP and TQ which intersect each other at a point T on the circle. Also join OP and OQ which are radius of circle.Now in ∆OPT and ∆OPQ we haveOP=OQ (radius of the circle)Angle P=angleQ (angle between tangent and radius is 90)By AA similarity we have; ∆OPT~∆OPQBy cpct TP=TQ Hence proved. By construction join the two lines from the point of the tangents drawn to the centre of the circle . Then join line at the point of contact of tangents point and prove the two triangles congruent and prove the tangents by cpct or congruent part of congruence triangle. ..... |
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