CBSE Class 10 Maths (Standard) 2025 · Paper 30/S/1 · Question 24

Circles 2 marks Medium

P X

and

P Y

are two tangents drawn from an external point

P

to a circle with centre

O

. If

∠ X P Y = 12 0^{\circ}

, then prove that

P X + P Y = P O

Answer

Since

P X = P Y

and

P O = 2 P X

, we get

P X + P Y = 2 P X = P O

. Hence proved.

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