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Question
In a circle of radius 7 cm, tangent PT is drawn from a point P such that PT = 24 cm. If O is the centre of the circle, then length OP = ?
Options
30 cm
28 cm
25 cm
18 cm
MCQ
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Solution
25 cm
Explanation:
OT = 7 cm (radius) and PT = 24 cm (tangent).
OT is perpendicular to PT, so triangle OTP is right-angled at T.
By Pythagoras, OP2 = OT2 + PT2
= 72 + 242
= 49 + 576
= 625
Hence OP = `sqrt(625)`
= 25 cm
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