A point moves so that the difference of the squares of its distances from two fixed points (a,0) and (-a,0) is constant = `2k^2` . Find the equation of its locus.

The locus of a point which moves so that the difference of the squares of its distance from two given points is constant, is a

The sum of the squares of the distances of a moving point from two fixed points (a,0) and (-a ,0) is equal to a constant quantity 2c^2 . Find the equation to its locus.

To find the equation of the hyperbola from the definition that hyperbola is the locus of a point which moves such that the difference of its distances from two fixed points is constant with the fixed point as foci

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

Find the distance between the point (2,3,6) and (0,0,0).

A point moves so that the sum of its distances from (a e ,0)a n d(-a e ,0) is 2a , prove that the equation to its locus is (x^2)/(a^2)+(y^2)/(b^2)=1 , where b^2=a^2(1-e^2)dot

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

Find the equation of the straight line through two points : (0, 2) and (0,4).

If a point moves such that twice its distance from the axis of x exceeds its distance from the axis of y by 2, then its locus is