Find the length of the tangent from a point M which is at a distance of 17 cm from the centre O of the circle of radius 8 cm.
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Answer:
the length is 2.m
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Since, MN is the tangent of the circle,
∠MNO = 90⁰
⟹ MO2 = MN2 + ON2
⟹ 172 = MN2 + 82
⟹ 289 = MN2 + 64
⟹ 289 – 64 = MN2
⟹ MN2 = 225
⟹ MN = 15
Thus, the length of the tangent is 15 cm.
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