Find the equation of a line for which: p=4, =150^ - Vidyadip

Question

Find the equation of a line for which: $\text{p}=4,\alpha=150^\circ$

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Answer

$\text{P}=4,\ \alpha=150^\circ$$\text{x}\cos\alpha+\text{y}\sin\alpha=\text{P}$
$\Rightarrow\text{x}\cos150^\circ+\text{y}\sin150^\circ=4$
$\Rightarrow-\text{x}\times\frac{\sqrt3}{2}+\text{y}\times\frac{1}{2}=4$
$\Rightarrow-\sqrt{3\text{x}}+\text{y}=8$

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