Find the length of the tangent drawn to the circle of radius 6 cm from a point distant
10cm from the centre O.
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Answer:
Since tangent is perpendicular to the radius through the point of contact
∴ ∠OTP=90∘
In right triangle OTP, we have
OP2=OT2+PT2
⇒ 102=62+PT2
⇒ PT2=100−36=64
⇒ PT=8cm
Hence, the length of the tangent is 8 cm.
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