Straight Line a...

The equation of line, which bisects the line joining two points (2, –19) and (6,1) and perpendicular to the line joining two points (–1,3) and (5,1) is

The equation of line whose mid point is (x₁, y₁) in between the axes, is

The equation of line passing through point of intersection of lines 3x – 2y – 1 = 0 and x – 4y + 3 = 0 and the point (π, 0), is

The slope of a line that makes an angle of measure 30^o with y-axis is

Equation of a straight line on which length of perpendicular from the origin is four units and the line makes an angle of 120^o with the x-axis, is

The equation to the straight line passing through the point (a cos³ θ, a sin³ θ) and perpendicular to the line x sec θ + y cosec θ = a, is

A line passing through origin and is perpendicular to two given 2x + y + 6 = 0 and 4x + 2y – 9 = 0, then the ratio in which the origin divides this line is

Equations of lines which pass through the points of intersection of the lines 4x – 3y – 1 = 0 and 2x – 5y + 3 = 0 and are equally inclined to the axes are