Question
The angle made by line $\text{r}[\cos\theta−3\sin\theta]=5 $ with initial line is:
- 30°
- 45°
- 60°
- 90°
✓
Answer
- 30°
Given equation
$\text{r}[\cos\theta−3\sin\theta]=5 $
$\text{x}−\sqrt{3}\text{y}=5$
Slope of the line is $\tan\theta=\frac{1}{\sqrt{3}}$
$\Rightarrow\theta=30^\circ$
Hence, the line makes an angle of 30° with the initial line.
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