Multiple choice

In a circle with centre O and the radius 10 cm, PQ and RS are two parallel chord of lenth x and 12 cm respectively, and the both the chords are on the opposite side of the O. If the distance between PQ and RS is 14 cm, the value of x is?

  1. 15

  2. 16

  3. 18

  4. 20
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For parallel chords on opposite sides of center, the distance between chords equals sum of their distances from center. Using chord length formula L = 2√(r² - d²): for RS with length 12 and r=10, d_RS = √(100-36) = 8. Since chords are 14 cm apart, d_PQ = 14 - 8 = 6. Then x = 2√(100-36) = 2√64 = 16 cm.

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