A point `P` moves in such a way that the ratio of its distance from two coplanar points is always a fixed number `(!=1)` . Then, identify the locus of the point.

A point moves in such a way that the difference of its distances from two points (8,0) and (-8,0) always remains 4 . Then the locus of the point is _

A point moves in such a way that the difference of its distance from two points (8,0) and (-8,0) always remains 4. then the locus of the point is

A point moves in such a manner that the sum of the squares of its distances from the origin and the point (2, -3) is always 19. Show that the locus of the moving point is a circle. Find the equation to the locus.

If a point moves on a plane is such a way that the sum of its distances from two fixed points on the plane is always a constant then the locus traced out by the moving point on the plane will be _

If a point moves on a plane in such a way that the difference of its distances from two fixed points on the plane is always a constant then the lous traced out by the moving point on the plane is

A point movs in such a manner that the sum of the squares of its distances from the points (a,0) and (-a, 0) is 2b^(2). Then the locus of the moving point is-

The number of planes that are equidistant from four non-coplanar points is

A point moves in the xy - plane in such a way that its distances from the x-axes and the point (1,-2) are always equal . Find the eqution to its locus.

Find the locus of a point such that the sum of its distance from the points (2, 2) and (2,-2) is 6.

A point moves on a plane in such a manner that the difference of its distances from the points (4,0) and (-4,0) is always constant and equal to 4sqrt(2) show that the locus of the moving point is a rectangular hyperbola whose equation you are to determine.