Question

The equation $r\cos (\theta -\frac{\pi }{3})=2$ represents

• A. a circle
• B. a parabola
• C. an ellipse
• D. a straight line

Answer 1

The correct option is D a straight line

$r\cos \theta \cdot \frac{1}{2}+r\sin \theta \cdot \frac{\sqrt{3}}{2}=2r\cos \theta +\sqrt{3}r\sin \theta =4\frac{r\cos \theta }{4}+\frac{r\sin \theta }{\frac{4}{\sqrt{3}}}=1$