Two parallel chords are drawn on the same side of the centre of a circle of radius

MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles

Problem

r

. They subtend angles

\theta

and

2\theta

at the centre. The perpendicular distance between the chords is (1)

2r\sin\frac{3\theta}{2}\sin\frac{\theta}{2}

(2)

\left(1-\cos\frac{\theta}{2}\right)\left(1+2\cos\frac{\theta}{2}\right)r

(3)

\left(1+\cos\frac{\theta}{2}\right)\left(1-2\cos\frac{\theta}{2}\right)r

(4)

2r\sin\frac{3\theta}{4}\sin\frac{\theta}{4}