AP EAMCET · Maths · Straight Lines
The cartesian form of the polar equation \(\theta=\tan ^{-1} 2\) is
- A \(x=2 y\)
- B \(y=2 x\)
- C \(x=4 y\)
- D \(y=4 x\)
Answer & Solution
Correct Answer
(B) \(y=2 x\)
Step-by-step Solution
Detailed explanation
Given that \(\begin{aligned} & \theta=\tan ^{-1} 2 \\ & \Rightarrow \quad \tan \theta=2 \\ & \text { We know, } x=r \cos \theta, y=r \sin \theta \\ & \Rightarrow \quad \tan \theta=\frac{y}{x} \\ & \therefore \quad y=2 x \\ & \end{aligned}\)
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