From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is (a) 7 cm (b) 12 cm (c) 15 cm (d) 24.5 cm

From a point Q, the length of the tangent to a circle is 24 cm and the

1.	From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is (a) 7 cm (b) 12 cm (c) 15 cm (d) 24.5 cm
Answer» Justification,Let OT be x CMTHEN in right ∆ QTO,QO² = QT² + OT² ( By PYTHAGORAS theorem )→ ( 25 )² = ( 24 ) ² + x²→ x² = 625 – 576 = 49→ x = √49 = 7cm→ 7cm

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From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is (a) 7 cm (b) 12 cm (c) 15 cm (d) 24.5 cm

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