If line `l_1` is perpendicular to line `l_2` and line `l_3` has slope 3 then find the equation of line `l_2`

If line l_1 is perpendicular to line l_2 and line l_3 has slope 3 then find the equation of line l_1

ax + by - a^(2) = 0 , where a, b non-zero, is the equation to the straight line perpendicular to a line l and passing through the point where I crosses the x-axis. Then equation to the line / is

If two lines are perpendicular to each other then product of its slopes is '-1'. Find the slope of a line which is perpendicular to line AB if A(3,0) and B(0,2).

A straight line L is perpendicular to the line 5x-y=1 . The area of the triangle formed by line L , and the coordinate axes is 5. Find the equation of line Ldot

Study the diagram. The line l is perpendicular to line m Does PE bisect CG ?

Suppose the Government has decided to erect a new Electrical Power Transmission Substation to provide better power supply to two villages namely A and B . The substation has to be on the line l. The distances of villages A and B from the foot of the perpendiculars P and Q on the line l are B from the foot of the perpendiculars P and Q on the line l are 3 km and 5 km respectively and the distance between P and Q is 6 km. (i) What is the smallest length of cable required to connect the two villages. (ii) Find the equations of the cable lines that connect the power station to two villages.(Using the knowledge in conjunction with the principle of reflection allows for approach to solve this problem) .

Line l is parallel to line m. It slopes of line l is 1/2 then slope of line m is ________

AB is a line segment and line l is its perpendicular bisector. If a point P lies on l, show that P is equidistant from A and B.

Lines L_1-=a x+b y+c=0 and L_2-=l x+m y+n=0 intersect at the point P and make an angle theta with each other. Find the equation of a line different from L_2 which passes through P and makes the same angle theta with L_1dot