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
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NOoooooooooooooooooooooooooooooo
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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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