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SSC CHSL 2024 PYQ — Question 72

SSC CHSL - 04 July 2024 - Shift 3 • Quantitative Aptitude • Q72

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A circle of diameter 26 cm has two equal chords of length 10 cm each, separated by a distance h cm. What is the value of h?

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. 24.

Here, AB and CD are two equal chords of length 10 cm

where, EF = h cm

⇒ AF = FB = 5, and

⇒ CE = ED = 5

Diameter = 26 cm

⇒ Radius = 26/2 = 13 cm

In ΔOBF

⇒ OB2 = FB2 + OF2

⇒ 132 = 52 + OF2

⇒ OF2 = 169 - 25

⇒ OF2 = 144

⇒ OF = 12 cm

So,

⇒ EF = 2 × OF

⇒ EF = 2 × 12

⇒ EF = 24 cm

Hence, the value of h is 24 cm