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Question
The length of tangent drawn to a circle of radius 9 cm from a point 41 cm from the centre is ______.
Options
40 cm
9 cm
41 cm
50 cm
Solution
The length of tangent drawn to a circle of radius 9 cm from a point 41 cm from the centre is 40 cm.
Explanation:
Since tangent at a point on a circle is perpendicular to the radius through the point.
∴ ∠OTP = 90°
Now, In right-angled triangle OTP
OP2 = OT2 + TP2
(41)2 = 92 + TP2
TP2 = 1681 – 81
= 1600
TP = `sqrt(1600)`
= 40 cm
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