The radius of a circle is 5 cm The distance of a point lying outside the circle from the centre is 1...........

Quantitative Aptitude ( CCS) Geometry

The radius of a circle is 5 cm. The distance of a point lying outside the circle from the centre is 13 cm: The length of the tangent drawn from the outside point to the circle is

7 cm

9 cm

10 cm

12 cm

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Explanation:

Tangent and radius are perpendicular to each other.
They form a right angled triangle with radius and the length of the tangent as arms of right angle and the 13 cm line from centre to the point lying outside as hypotenuse.
∴ (The length of the tangent)² + (radius)² = 132
(The length of the tangent)² = 13² – 5² = 144

⇒ The length of the tangent = 12 cm