JEE 2022 | Straight Lines | Saaral Rekha | Equations of Angles | Foot of Perpendicular

Foot of perpendicular on a line

Equation Of Pair Of Straight Lines

A straight line passes through a fixed point (2, 3).Locus of the foot of the perpendicular on it drawn from the origin is

If the straight line which bisects the vertical angle of a triangle is perpendicular to the base, the triangle is:

A straight line l passes through a fixed point (6, 8). If locus of the foot of perpendicular on line l from origin is a circle, then radius of this circle is … .

Find the equation of the perpendicular drawn from the point P(-2,3) to the line x-4y+7=0. Also, find the coordinates of the foot of the perpendicular.

Find the equation of the straight line which is at a distance 3 from the origin and perpendicular from the origin to the line makes an angle of 30^(0) with the positive direction of the x-axis.

Find the equation f the straight line at a distance of 3 units from the origin such that the perpendicular from the origin to the line makes and angle alpha given by tan alpha=(5)/(12) with the positive direction of x-axis.