Math, asked by ganesh420, 1 year ago

⚡⚡prove that the tangent drawn from a common point are equal.

Answers

Answered by Anonymous
9
ANSWERS :-

solution

In triangle OBP and triangle OAP

OB = OA = r

<OBP = <OAP = 90°

OP = OP (BY COMMON)

So,

triangle OBP Congurent triangle by RHS creteria of congurence.

So,

BP = AP ( BY C.P.C.T )

Hence,

tangents from by a common points are equal in length.

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Answered by Akshaypanigrahi
3
hey mate..

To prove PT=QTPT=QT

Proof: Consider the triangle OPTOPT and OQTOQT.

OP=OQOP=OQ

∠OPT=∠OQT=90∘∠OPT=∠OQT=90∘

OT=OTOT=OT (common side)

Hence by RHS the triangles are equal.

Hence PT=QTPT=QT

Hence Proved.

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