WBJEE · Maths · Straight Lines
The equation \(r \cos \left(\theta-\frac{\pi}{3}\right)=2\) represents
- A a circle
- B a parabola
- C an ellipse
- D a straight line
Answer & Solution
Correct Answer
(D) a straight line
Step-by-step Solution
Detailed explanation
Hint: \(r \cos \left(\theta-\frac{\pi}{3}\right)=2 \quad \Rightarrow r \cos \theta \times \frac{1}{2}+r \sin \theta \times \frac{\sqrt{3}}{2}=2 \Rightarrow x+\sqrt{3} y=4(x=r \cos \theta, y=r \sin \theta)\) \(\therefore\) a straight line
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