Question

Prove that the length of tangents drawn from an externel point to a circle are equal.​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Answer:

Let P be the external point, and let Q and R be the point of contact. Let O be the center.

Construction: Join OR and OP and OQ

by theriom 12.1

=>/_ORP and /_OQP is 90⁰ -Eq 1

=>So consider Triangle ORP and triangle OQP

=>Feom eq 1 /_R= /_Q

=> OP=PO (Common)

=>OR=OQ (Radii of circle)

=> TriORP is congruent to TriOQP

=>PR=PQ(CPCT)

Therefore the length of tangents drawn from an externel point to a circle are equal.

Hence Proved》》