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Three Dimensional Geometry — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsThree Dimensional Geometry1 Mark
MCQ
The angle made by line $\text{r}[\cos\theta−3​\sin\theta]=5$ with initial line is:
  • ✓
    $30^\circ $
  • B
    $45^\circ $
  • C
    $60^\circ $
  • D
    $90^\circ $
✓

Answer

Correct option: A.
$30^\circ $
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 $30^\circ$ with the initial line.

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