In a circle with center O and radius 10 cm, PQ and RS are two parallel chords of lengths x cm and 12 cm, respectively, and both the chords are on the opposite side of O. If the distance between PQ and RS is 14 cm, the value of x is:
Show answer & explanation
Correct answer: D
Explanation
Correct answer is option 4 i.e. 16
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Concept |
Understanding |
Application |
Fair calculation |
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Pythagoras theorem |
RS=12 cm PQ= x cm r= 10 cm MN=14 cm |
OM = √(OR2-RM2) = 8 cm Now ON = 14 – 8 = 6 cm PN = √(OP2-ON2) = 8 cm x = 2PN = 16 cm |
√(102-62) = √64 = 8
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