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 the xy-plane such that the sum of its distance from two mutually perpendicular lines is always equal to 3. The area of the locus of the point is

A point moves in the xy-plane such that the sum of its distance from two mutually perpendicular lines is always equal to 3. The area of 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 _

The locus of a point which moves such that the sum of its distances from two fixed points is a constant is

A point moves in the x y -plane such that the sum of its distances from two mutually perpendicular lines is always equal to 3. The area enclosed by the locus of the point is

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

Show that the locus of a point such that the ratio of its distances from two given points is a constant k(!=1) , is a circle.