A secant PAB is drawn from an external point P to the circle with the centre at O, intersecting it at A and B. If OP = 17 cm, PA = 12 cm and PB =

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SSC CGL - 2024

A secant PAB is drawn from an external point P to the circle with the centre at O, intersecting it at A and B. If OP = 17 cm, PA = 12 cm and PB = 22.5 cm, then the radius of the circle is:

This question was previously asked in

SSC CGL 2024 (Tier-I) Previous Year Paper (17-Sep-2024) (Shift 3)

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√21 cm

√17 cm

√19cm

√23 cm

The correct answer is

√19cm

Using the secant-tangent theorem, we calculate the radius of the circle to be √19 cm.

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