Find the equation of a line for which: p=8, =300^ - Vidyadip

Question

Find the equation of a line for which:
$\text{p}=8,\alpha=300^\circ$

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Answer

$\text{P}=8,\ \alpha=300^\circ $

$\text{x}\cos\alpha+\text{y}\sin\alpha=\text{P}$

$\Rightarrow\text{x}\cos300^\circ+\text{y}\sin300^\circ=8$

$\Rightarrow\text{x}\times\frac{1}{2}-\text{y}\times\frac{\sqrt3}{2}=8$

$\Rightarrow\text{x}-\sqrt{3\text{x}}=16$

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