Question

31. Prove that the length of 2 tangents drawn from external point to a circle are equal..

Answer 1

Answer:

Here is ur ans

Step-by-step explanation:

Please mark me as brainliest please

Answer 2

$\orange{\boxed{\pink{\underline{\red{\mathrm{Question:-}}}}}}$

Prove that the length of 2 tangents drawn from external point to a circle are equal.

$\green{\boxed{\orange{\underline{\red{\mathrm{Solution:-}}}}}}$

→We Know Radius through Point of Contact Are Perpendicular.

Hence, ≺OQP=90

≺QRP=90

→So now, In ∆OQP&∆ORP↓

→OQ=OR[Radii of same Circle are Equal]

→OP=OP[Common]

→≺OQP=≺ORP[both are Equal to 90]

→∆OQP≈∆ORP [RHS--Right Hand Side] [°≈ is equal to Similar sign]

=>PQ=PR[CPCT]

→Thus, Tangents DRAWN from An external point to a circle are Equal™

$\mathcal{BE \: BRAINLY}$