Question

The cartesian form of the polar equation $\theta ={\tan }^{-1}2$ is

• A. x = 2y
• B. y = 2x
• C. x = 4y
• D. y = 4x

Answer 1

Answer: (B)

Given that

$\theta ={\tan }^{-1}2$
$\Rightarrow \tan \theta =2$
We know, $x=r\cos \theta ,$
$y=r\sin \theta$
$\Rightarrow \tan \theta =\frac{y}{x}$
$\therefore y=2x$