CAT 2018 Question Paper Shift 2 Solved Paper

Question : 69 of 100

Marks: +1, -0

A chord of length 5 cm subtends an angle of 60° at the centre of a circle. The length, in cm, of a chord that subtends an angle of 120° at the centre of the same circle is Options

8
2π
6 $√2$
5 $√3$

Validate

Solution:

Since

∆ {OAB}

is equilateral,
radius of the circle is

5 {cm}

.
In

∆ {OCD}

, by sine rule,

\;{5}/{\sin 30^{∘}}=\;{C D}/{\sin 120^{∘}}

⇒ C D=5 \;{√{3}}/{2} × 2

=5 √{3}

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