A point moves in such a manner that 3 times its distance from the x-axis is greater than 4 times its distance from the y-axis by 7 , find the equation of its locus .

A point moves in the xy -plan such that three times its distance from the y- axis exceeds two times its distance from the x- axis by 4. Then the equation to the moving points is -

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 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 moves so that its distance from the point (-2, 3) is always three times its distance from the point (0, 3) . Find the equation to its locus.

A point moves so that its distance from the point (-2, 3) is always three times its distance from the point (0, 3) . Find the equation to its locus.

Find the locus of the point such that its distance from the x-axis is half its distance from the y-axis.

Find the locus of a point which moves so that its distance from the x-axis is twice its distance from the y-axis.

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.

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