The sum of the distances of a moving point from the points (c,0) and (-c,0) is always 2a unit `(agtc)` . Find the equation to the locus of the moving point.

The sum of the distances of a moving point from the points (c,0)and (-c,0) is always 2a unit (a>c).Find the equation to the locus of the moving point.

The sum of the distances of a moving point from the points (5 , 0 , 0) and ( - 5 , 0 , 0) is always 20 unit . Find the equation to the locus of the moving point .

The sum of the distance of a moving point from the points (4,0) and (-4, 0) is always 10 units . Find the equation of the locus of the moving point.

The sum of the distance of a moving point from the points (4,0) and (-4,0) is always 10 units. Find the equation to the locus of the moving point.

The sum of the distances of a moving point from the points (3,0) and (-3,0) is always equal to 12 . Find the equation to the locus and identify the conic represented by the equation.

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.

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.

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.