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SSC Selection Post 2022 PYQ — Question 70

SSC Selection Post - Graduation Level - 2 Aug 2022 - Shift 3 • Quantitative Aptitude • Q70

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If AB is a chord of a circle with a radius of 5 units and C is a point on the circle such that ∠ACB = π2\frac{\pi}{2}, then the length of chord AB is:

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 10 units.

If the angle subtended by a chord of a circle is 90°, then, the chord is its diameter.

Chord AB subtends 90°, which is the diameter of the circle.

So, AB = 2(Radius) = 2(5) = 10 units