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Railways PYQCBT 1 2020

RRB NTPC · Question 51

In a circle with a radius of 10 cm. XY and PQ are two parallel chords 12 cm and 16 cm in length, respectively. The two chords are situated on the opposite sides of the centre. The distance between the chords is:

  1. 14 cm

  2. 18 cm

  3. 12.80 cm

  4. 12 cm

Show answer & explanation

Answer: (A) 14 cm

Explanation

Distance of a chord from the centre = √(r² − (half-chord)²): for the 12 cm chord √(100 − 36) = 8 cm, for the 16 cm chord √(100 − 64) = 6 cm. On opposite sides of the centre, they are 8 + 6 = 14 cm apart.