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.

Find the locus of the point P, sum of whose distances from the points F_1(-2,1) and F_2(-5,5) is a constant equal to 5.

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

Find the locus of the point which is equidistant from the points A(0,2,3) & B(2,-2,1)

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 .

Find the equation to the locus of the point whose distance from the point ( - 2 , -3, 2) is 6 unit .

Find the equation of the set of points P the sum of whose distances from A(4,0,0) and (-4,0,0) is equal to 10

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.

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 equation of the set of the point P such that its distances from the points A(3,4,-5) and B(-2,1,4) are equal

The locus of a point whose difference of distance from points (3,0) and (-3, 0) is 4, is-