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

A) $$b = \sqrt 2 a$$ B) $$b = 2a$$ C) $$b = \sqrt 3 a$$ D) $$b = \frac{3}{2}a$$

Answer & Solution

Correct Answer: Option A

∠AOB = 60°
∠COD = 90°
⇒ length of chord AB = a
⇒ length of chord CD = b
⇒ AO = OB = AB = OD = OC = a
⇒ In ΔODC
⇒ OD² + OC² = CD²
⇒ a² + a² = b²
⇒ b = $$\sqrt 2 $$ a

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Two chords of length a unit and b unit of a...

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

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