A line passes through `A(-3, 0) and B(0,-4)`. A variable line perpendicular to AB is drawn to cutx and y-axes at M and N. Find the locus of the point of intersection of the lines AN and BM.

A striaght line intersect x-axis at A(7,0) and y-axis at B(0,-5). The straight line PQ is perpendicular to AB and intersect the x and y-axes at P adn Q respectively. Find the eqution to the locus of the point of intersection of the line AQ and BP.

Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x-7y+5=0 and 3x+y=0

Find the equation of the line parallel to Y -axis and drawn through the point of intersection of the lines x-7y + 5=0 and 3x +y=0 .

Find the equation of the line parallel to y-axes and drawn through the point of intersection of the lines x- 7y + 5 = 0 and 3x + y = 0

The equation of the straight line perpendicular to the straight line 3x+2y=0 and passing through the point of intersection of the lines x+3y-1=0 and x-2y+4=0 is

A variable line passes through M (1, 2) and meets the co-ordinate axes at A and B, then locus of mid point of AB, is equal to

A variable line passing through the point P(0, 0, 2) always makes angle 60^(@) with z-axis, intersects the plane x+y+z=1 . Find the locus of point of intersection of the line and the plane.

A variable line passing through the point P(0, 0, 2) always makes angle 60^(@) with z-axis, intersects the plane x+y+z=1 . Find the locus of point of intersection of the line and the plane.