Find the equation of the locus of a point that forms a triangle of area 5 units with the points `A(2,3)and B(-1,4)`.

Find the locus of a point whose each point is equidistant from the points A(2,3,-4) and B(-1,2,3).

Find the equation of the locus of a point which moves such that the ratio of its distances from (2,0) and (1,3) is 5:4.

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

Find the equation of the locus of a point which moves so that the difference of its distances from the points (3, 0) and (-3, 0) is 4 units.

Find the equation of the locus of the point P equidistant from the points (2,3),(1,4)

Find the equation to the locus of a point equidistant from the points A(1,3) and B(-2,1) .

Find the area of a triangle formed by the points A(5,2),B(4,7) and C(7,-4)

Find the locus of a point which is at a distance of 5 units from (-1,-2) .

Find the area of the triangle formed by the points (1,2),(3,4) and (-2,0)

A(5,3),B(3,-2) are two fixed points; find the equation to the locus of a point P which moves so that the area of the triangle PAB is 9 units.