The equation of straight line equally inclined to the axes and equidistant from the point `(1, -2)` and `(3,4)` is:

The direction cosines of a line equally inclined to the axes are:

If line y - x - 1 +λ= 0 is equally inclined to axes and equidistant from the points (1, - 2) and (3, 4) , then lambda is

The number of straight lines which are equally inclined to both the axes is

Derive the equation of the locur of a point equidistant from the points (1, -2, 3) and (-3,4,2).

Find the equation of the straight line which makes equal intercepts on the axes and passes through the point (1,-3).

Find the equation of the straight line which makes equal intercepts on the axes and passes through the point (2,3).

Find the equation of the straight line that (i)makes equal intercepts on the axes and passes through the point (2;3) (ii) passes through the point (-5;4) and is such that the portion intercepted between the axes is devided by the point in the ratio 1:2

Find the equation to the locus of points equidistant from the points (-3,2),(0,4)

Find the equation of the set of points which are equidistant from the points (1, 2, 3) and (3, 2, 1) .

Find the equation of the set of points which are equidistant from the points (1,2,3) and (3,2,-1)