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Step-by-step explanation:
From figure :
Here,
OA = OB
And,
OA ⊥ AP,OA ⊥ BP (Since tangents drawn from an external point are perpendicular to the radius at the point of contact)
∴ ∠ OAP = 90° , ∠ OBP = 90°
∴ ∠OAP +∠ OBP = 90° + 90° = 180°
∴ ∠ AOB + ∠APB =180°
( ∠OAP +∠OBP +∠AOB +∠APB = 360° )
Sum of opposite angle of a quadrilateral is 180° .
Hence, A, O, B and P are concyclic.
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