Find the equations of angular bisector bisecting the angle containing the origin and not containing the origin of the lines `4x+3y-6 = 0 and 5x + 12y + 9 =0`

Find the equation of the plane containing the line of intersection of the plane x + y + z-6 = 0 and 2x + 3y + 4z + 5 = 0 and passing through the point (1, 1, 1).

Find the equation of the bisectors of the angle between the lines represented by 3x^2-5xy+y^2=0

The lines joining the origin to the points of intersection of 2x^2 + 3xy -4x +1 = 0 and 3x + y=.1 given by

Find measure of an angle between the lines x + y = 3 and 2x + 5y - 7 = 0.

The distance of the point of intersection of the lines 2 x- 3y + 5 = 0 and 3x + 4y =0 from the line 5x-2y =0 is

Find the equations of the straight lines joining the origin to the points of intersection of x^2+y^2-4x-2y=0 and x^2+y^2-2x-4y=4 .

Find the equation of the parabola whose latus-rectum is 4 units, axis is the line 3x+4y-4=0 and the tangent at the vertex is the line 4x-3y+7=0

Find equation of angle bisector of plane x+2y+3z-2=0 and 2x-3y+z+4=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 .

The equation of the line joining the point {3, 5) to the point of intersection of the lines 4x + y - 1 = 0 and 7x - 3y - 35 = 0 is equidistant from the points (0,0) and (8,34) .