# The length of perpendicular from the origin to a line is 6 and line makes an angle of $145^{\large\circ}$ with the positive direction of y-axis .Find the equation of line.

$\begin{array}{1 1}(a)\;x\cos 65^{\large\circ}+y\sin 35^{\large\circ}=9\\(b)\;x\cos 35^{\large\circ}+y\sin 35^{\large\circ}=9\\(c)\;x\cos 45^{\large\circ}+y\sin 45^{\large\circ}=3\\(d)\;x\cos 55^{\large\circ}+y\sin 35^{\large\circ}=9\end{array}$

Here $\alpha =35^{\large\circ}$
$p=6$
$\therefore$ Equation of required line is $x\cos 35^{\large\circ}+y\sin 35^{\large\circ}=9$
Hence (b) is the correct answer.