Find the equation of a line for which: p=8, =225^ - Vidyadip

Question

Find the equation of a line for which: $\text{p}=8,\alpha=225^\circ$

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Answer

$\text{P}=8,\ \alpha=255^\circ$$\text{x}\cos\alpha+\text{y}\sin\alpha=\text{P}$
$\Rightarrow\text{x}\cos225^\circ+\text{y}\sin225^\circ=8$
$\Rightarrow-\text{x}\times\frac{1}{\sqrt2}-\text{y}\times\frac{1}{\sqrt2}=8$
$\Rightarrow\text{x}+\text{y}+8\sqrt2=0$

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