A point moves on a plane is such a manner that the sum of its istances from the points (5,0) and (-5,0) is always constant and equal to 26 . Show that the locus of the moving point is the ellipse `(x^(2))/(169) + (y^(2))/ (144)=1 ` .

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.

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

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 _

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-

Find the locus of a point which moves so that the sum of the squares of its distances from the points (3,0) and (-3,0) is always equal to 50.

Find the locus of the point P, sum of whose distance from the points F_1(2,0) and F_2(-2,0) is constant and equal to 6.

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.

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

A point moves so that the sum of squares of its distances from the points (1, 2) and (-2,1) is always 6. Then its locus is

A point moves so that the sum of squares of its distances from the points (1,2) and (-2,1) is always 6 . Then its locus is _