A point moves in the xy - plane in such a manner that its distance from the origin is always 3 unit . State which of the following is the equation to the locus of the moving point ?

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.

A point P(x,y) moves in the xy - plane in such a way that its distance from the point (0,4) is equal to (2)/(3) rd of its distance from the x axis , find the equation to the locus of P.

A point P(x,y) moves in the xy-plane in such a way that its distance from the point (0,4) is equal to (2)/(3)rd of its distancefrom the x -axis find the equation to the locus of P.

A point moves so that its distance from y - axis is half of its distance from the origin. The equation to the locus is

A moving point is always collinear with the point (2,-1) and (3,4) , find the equation to the locus of the moving point

A point moves in a plane such that its distance from the point (2,3) exceeds its distance from the y- axis by 2 . Find the equation to the locus of the point .

A point moves on a plane in such a manner that the difference of distance from (3,0) is (3)/(2) times its distance from the line 3x - 4 = 0 , Show that the locus of the moving point is a hyperbola and the equation of its locus is 5x^(2) - 4y^(2) = 20 .

The sum of the distances of a moving point from the points (c,0) and (-c,0) is always 2a unit (agtc) . Find the equation to the locus of the moving point.

A point moves on a plane such that its distance from the point (3,0) is 3/2 times its distance from the line 3x-4=0, then the locus of the moving point is a/an-

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.