Equation of Perpendicular from a Point on a Line

Q.

Find the equations of a line which cuts the x-axis at a distance of 3 units to the left of the origin and has a slope equal to -2

Q. Find the value of k if the perpendicular distance of P (1, 2) from (4x - 3y + k) = 0 is 5 units.

1. -35

2. -15

3. 15

4. 35

Q. If the length of the perpendicular from the point $(\beta ,0,\beta )(\beta \ne 0)$ to the line, $\frac{x}{1}=\frac{y-1}{0}=\frac{z+1}{-1}$ is $\sqrt{\frac{3}{2}}$, then $\beta$ is equal to :

1. $-2$
2. $-1$
3. $1$
4. $2$