# 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

- b = (3/2)a
- b = √3 a
- b = √2 a
- b = 2 a

**Answer: (3) b = √2 a**

**Explanation:-**

In triangle O P R

Sin45^{o} = 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.