Multiple Choice Questions

A tangent is drawn from an external point lsquo A rsquo to a circle of radius 12 cm If the length of...........

Quantitative Aptitude (CPO) Geometry

A tangent is drawn from an external point ‘A’ to a circle of radius 12 cm. If the length of the tangent is 5 cm, then the distance

from the centre of the circle to point ‘A’ is:

This questions was previously asked in

SSC CPO 10th Nov 2022 Shift 2

17 cm

9 cm

7 cm

13 cm

- A tangent from a point outside a circle creates a right triangle with the radius and the line from the center to the external point.

- Here, the radius (12 cm), the tangent (5 cm), and the line from the center to point A (hypotenuse) form a right-angled triangle.

- By Pythagorean theorem, hypotenuse² = radius² + tangent².

- Calculate: hypotenuse² = 12² + 5² = 144 + 25 = 169.

- Hypotenuse = v169 = 13 cm.

- Hence, the distance from the center of the circle to point A is 13 cm.

- Answer: Option 4 - 13 cm

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