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Two tangent TP andTQ are drawn …

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Two tangent TP andTQ are drawn to a circle with center O from an external point T prove that angle PTQ=2OPQ

Posted by Amit Mall 7 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Anupama Chandran 7 years, 8 months ago

Given: TP and TQ are tangents To prove: PTQ =2OPQ Proof: in ∆TPQ TP=TQ =>angleP=angleQ Let <P=<Q=<i(any angle) <PTQ=180-2¡ OP is the radius and TP is the tangent <OPT=90° <OPQ=90°-¡ 2<OPQ=180-2¡ From this PTQ=2OPQ

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