A point moves so that square of its distance from the point`(3,-2)` is numerically equal to its distance from the line `5x - 12y =3`. The equation of its locus is ......... .

If a point moves such that twice its distance from the axis of x exceeds its distance from the axis of y by 2, then its locus is

Find the locus of a point which moves such that its distance from the origin is three times its distance from x-axis.

Find distance from point (3, 5) to the line 2x + 3y = 14 and the distance to the line parallel to x - 2y = 1.

Find distance of the point (3, 4, 5) from Y-axis.

Perpendicular distance from (-3,-4) to the line 12x - 5y + 81 = 0 is ..........

Find the points on the line x+y=4 which lie at a unit distance from the line 4x+ 3y=10 .

The equation of the locus of a point which moves so that its distance from the point (ak, 0) is k times its distance from the point ((a)/(k),0) (k ne 1) is

Find the equation of the set of all points whose distance from (0,4) are (2)/(3) of their distance from the line y = 9.

Find the equation of the set of the points P such that its distance from the points A(3, 4, -5) and B(-2, 1, 4) are equal.

A point moves so that the distance between the foot of perpendiculars from it on the lines a x^2+2hx y+b y^2=0 is a constant 2d . Show that the equation to its locus is (x^2+y^2)(h^2-a b)=d^2{(a-b)^2+4h^2}dot