Find The Relation Between a and b ? If

Two chords of length a unit and b unit of a circle make angles 60o and 90o at the centre fo a circle respectively, then the correct relation is

  1. b = (3/2)a
  2. b = √3 a
  3. b = √2 a
  4. b = 2 a

 

Anurag Mishra Professor Asked on 12th August 2015 in Maths.
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  • 1 Answer(s)

    Answer: (3) b = √2 a

    Explanation:-

    In triangle O P R
    Sin45o = r/b
    1/sqrt2 = r/b
    r = b/sqrt.2 …………………. (1)
    And triangle M NO
    r = a  ………………………………. (2)
    Comparing  on equation (1) & (2),
    a = b/sqrt.2
    b = sqrt.2 a
    Hence, the answer is (3) b = sqrt.2 a.

    Anurag Mishra Professor Answered on 14th August 2015.
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