(b) Prove that the tangents drawn from an external point
of circle make equal angles with line joining centre and external po

1 thought on “(b) Prove that the tangents drawn from an external point<br />of circle make equal angles with line joining centre and external po”

1. Step-by-step explanation:

   A circle with centre O and a point P outside it.

   PA and PB are @ tangents to circle

   To prove:

   ∠AOP=∠BOP

   and,∠APO=∠BPO

   Proof:

   In ΔAOPandΔBOP

   PA=PB (tangents drawn from an external points are equal)

   OA=OB (radii of same circle )

   ΔAOP≅ΔBOP(SSS)

   ∴∠AOP=∠BOP

   and∠APO=∠BPO(CPCT)

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