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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