Math, asked by Lolippe8208, 1 year ago

The length of tangent from an external point on a circle is always greater than the radius of the circle.is it true


sejuu: it's a wrong statement

Answers

Answered by MasteRxxx
2
NOoooooooooooooooooooooooooooooo
Answered by XxArmyGirlxX
0

FALSE

PA&PB are tangents to the circle at A&B respectively.

∴PA=PBand∠OAP&∠OBPare=90⁰

∴ΔOAPisarightonewith∠A=90⁰

⟹∠AOP+∠APO=90⁰ (by anglesum property of triangles)

case I−∠AOP=∠APO⟹each of them=45⁰ .i.ePA=OA

case II− ∠AOP> ∠APO⟹ ∠AOP> 45⁰ & ∠APO <45⁰ (in a Δ the side opposite to the greater angle is greater than the side opposite to the smaller angle)

⟹PA>OA

case III AOP< ∠APO ⟹ ∠AOP <45⁰ & ∠APO> 45⁰ (sameargument as case II)

⟹PA>OA

So the assertion,PA or PB is always> OA or OB,is false.

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