The angle made by line r[ −3 ]=5 with initial line is: - Vidyadip

MCQ

The angle made by line $\text{r}[\cos\theta−3\sin\theta]=5 $ with initial line is:

A
30°
B
45°
C
60°
D
90°

✓

Answer

30°

Solution:

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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