R S Aggarwal Solutions for Exercise 6: EXERCISE 1F

Find the equation of line for which $p=3\text{ and }\alpha ={45}^{\circ }$.

Find the equation of line for which $p=5\text{ and }\alpha ={135}^{\circ }$.

Find the equation of line for which $p=8\text{ and }\alpha ={150}^{\circ }$.

Find the equation of line for which $p=3\text{ and }\alpha ={225}^{\circ }$.

Find the equation of line for which $p=2\text{ and }\alpha ={300}^{\circ }$.

Find the equation of line for which $p=4\text{ and }\alpha ={180}^{\circ }$.

The length of the perpendicular segment from the origin to a line is $2 \mathrm{units}$ and the inclination of this perpendicular is $\alpha$ such that $\sin \alpha =\frac{1}{3}$ and $\alpha$ is acute. Find the equation of the line.

Find the equation of the line which is at a distance of $3 \mathrm{units}$ from the origin such that $\tan \alpha =\frac{5}{12}$, where $\alpha$ is the acute angle which this perpendicular makes with the positive direction of the $x-$axis.