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A point P is 17 cm from the centre of a circle of radius 8 cm. The length of the tangent from P to the circle is
A9 cm
B13 cm
C15 cm
D12 cm
Answer & Solution
Correct answer: C. 15 cm
1. Tangent PT, radius OT, hypotenuse OP form a right triangle right-angled at T.
2. PT squared = OP squared minus OT squared = 17 squared minus 8 squared = 289 minus 64 = 225.
3. PT = 15 cm.
_Source: NCERT Class 10 Mathematics, Ch 10 "Circles", §10.3_
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