Find the equation to the locus of a point whose distance from the point (1,-1,2) is 5.

Find the equation to the locus of a point whose distance from the (-1,3,4) is 12.

Find the vector equations to the locus of a point whose distance from the point C(alphahati+betahatj+gammahatk) is constant equal to a.

Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/4=1 touching the ellipse at point A and B. Q. The equation of the locus of the points whose distance from the point P and the line AB are equal, is

Find the equation of the set of points which are equidistant from the points (1,2,3) and (3, 2, -1).

Find the equation of the set of points which are equidistant from the points (1, 2, 3) and (3, 2, - 1).

Find the equation of the locus of all points, the sum of whose distances from (3, 0) and (9, 0) is 12.

The equation of the locus of a point which moves so that its distance from the point (ak, 0) is k times its distance from the point ((a)/(k),0) (k ne 1) is

Find the locus of a point which is equidistant from the points (3,2,1) and (-1,2,3).

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

Find the locus of a point equidistant from the point (2,4) and the y-axis.