A point moves so that its distance from (0,-3) is `(1)/(sqrt(2))` times its distance from the line 3 x - 4y + 1 = 0 . Show that the locus of the moving point is an ellipse whose equation you are to determine .

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 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 .

Locus of a point which moves such that its distance from the X-axis is twice its distance from the line x-y=0 is

The locus of a point whose distance from (-2,0) " is " 2/3 times its distance from the line x= (-9)/2 is

A point moves so that its distance from the point (2,0) is always (1)/(3) of its distances from the line x-18 . If the locus of the points is a conic, then length of its latus rectum is

A point moves so that its distance from the point (2,0) is always (1)/(3) of its distances from the line y=x-18 . If the locus of the points is a conic, then length of its latus rectum is

A point P moves so that its distance from the line given by x=-3 is equal to its distance from the point (3, 0). Show that the locus of P is y^(2)=12x .

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.