A straight line is such that its distance of 5 units from the origin and its inclination is `135^@` The intercepts of the line on the co-ordinate axes are

Find the equation of the line at a distance of 3 units from the origin and having inclination 120^(@) .

A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line makes an angle of 60^(@) with the line x+y=0 . Then, an equation of the line L is

Equation of planes at a distance of sqrt(3) units from the origin, and whose normal is equally inclined to the co-ordinate axes, is

A line is such that its segment between the axes is bisected at the point (23, 27) the product of the intercepts made by the line on the coordinate axes is.

The perpendicular distance of a line from the origin is 5 units and its slope is -1. Find the equation of the line.

The perpendicular distance of a line from the origin is 5 units and its slope is -1. Find the equation of the line.

The direction consines of a line equally inclined with the co-ordinate axes are

A plane bisects the join of (1,2,3) and (3,4,5) at right angles. Its intercepts on the co-ordinate axes are

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.