The ratio of the distances of a moving point from the points (3,4) and (1,-2) is 2:3 , find the locus of the moving point.

The difference of the distances of variable point from two given points (3,0) and (-3,0) is 4. Find the locus of the point.

If the square of distance of a moving point from the point (2,0) is equal to 4 units , then the locus of the moving point is a -

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 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 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.

If the distance from P to the points (3,4) and (-3,4) are in the ratio 3:2, find the locus of P.

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.