The equation of the normal at parameter to the curve

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The equation of the normal at parameter

\theta

to the curve

x=a\cos\theta+a\theta\sin\theta

y=a\sin\theta-a\theta\cos\theta

is always at a distance of (1)

2a

units from the origin (2)

3

units from the origin (3)

\frac{1}{2}

unit from the origin (4) None of these