Question

The equation of a line passing through the origin and the point $(acos\theta ,asin\theta )$ is

• A. $y=xsin\theta$
• B. $y=xtan\theta$
• C. $y=xcos\theta$
• D. $y=xcot\theta$

Answer 1

Answer: (B)

$y=xtan\theta$

Equation of line from origin $O(0,0)$ and $(a\cos \theta ,a\sin \theta )$

$y-0=\frac{a\sin \theta -0}{a\cos \theta -0}(x-0)$

$y=x\tan \theta$