SSC CPO SI and ASI 2011 Paper

Question : 134 of 200

Marks: +1, -0

If a chord of length 16 cm is at a distance of 15 cm from the centre of the circle, then the length of the chord of the same circle, which is at a distance of 8 cm from the centre is equal to

10 cm
20 cm
30 cm
40 cm

Validate

Solution:

(3) Let the length of chord be x cm. Since both chords are of same circle, then product of perpendicular distance of chord from centre and chord length will always be same.
Therefore,

15 × 16=8 × x ⇒ x=30 {cm}

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