Examine which of the points (5,7) and (6,-2) lie on the locus with equation x^{2}+y^{2}-4x-6y=12.
Find the value of k so that the point (4,5) lies in the locus of x^{2}+y^{2}+kx-8y-25=0
Find the value of k so that the point (3,2) lies in the locus of x^{2}+y^{2}+ky=21
Find the value of m so that the point (-2,0) lies in the locus of x^{2_}mx +5y=18.
Find the equation of a locus of a point, which is equidistant from the point (1,2) and (2,-3).
A point P moves so that its distance from the two points (3,4) and (5,-2) are equal to one another.Find the equation of the locus of P.
A point moves so that its distance from the point (3,2) is always twice its distance from the point (2,1).Find the equation of a locus.
Find the equation of the locus of a point whose distance from (-1,1) is equal to the twice its distance from the X-axis.
Find the equation of the locus of a point which moves so that its distance from the point (0,2) is one-third of its distance from the point (3,0).
A point moves so that the ratio of its distance from the point( -a,0) and (a,0) is 2:3.Find the equation of its locus.