RRB Group D Model Paper 7 with solutions

Question : 43 of 100

Marks: +1, -0

A chord of length 24 cm is at a distance of 5 cm from the centre of a circle. The length of the chord of the same circle which is at a distance of 12 cm from the centre is_______.

12 cm
11 cm
17 cm
10 cm

Validate

Solution:

(4) Let the length of chord be x cm. Since both chords are in the same circle, then the product of perpendicular distance of chord from the center and chord length will always be same. Therefore,
24 × 5 = 12 ×

x

⇒ x = 10 cm

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