If the point `(x , y)` is equidistant from the points `(a+b , b-a)` and `(a-b , a+b)` , prove that `b x=a ydot`

If P(x, y) is a point equidistant from the points A(6, -1) and B(2, 3), show that x-y = 3.

Find a point on the y-axis which is equidistant from the points A(6,5) and B (-4, 3).

Find a point on the Y-axis which is equidistant from both the points A(6, 5) and B(– 4, 3).

If the point P(x,y) is equidistant from A(5,1) and B(-1, 5) , then . . . . . .holds good

Find the distance between the pair of points (a, b) and (-a, -b)

Find the coordinates of the point which divides the line segment joining the points (a + b, a - b) and (a - b, a + b) in the ratio 3 : 2 internally

If the coordinates (x, y, z) of the point S which is equidistant from the points O(0, 0, 0), A(n^(5), 0, 0), B(0, n^(4), 0), C(0, 0, n) obey the relation 2(x+y+z)+1=0 . If ninZ , then |n|= _____( |*| is the mudulus function).

Find point on Y -axis which is at the equidistance from the given points A(-4, 3) and B(5, 2) .

Find a relation between x and y such that the point (x, y) is equidistant from the points (-2, 8) and (-3, -5)

Find the coordinates of the point equidistant from three given points A(5,1), B(-3,-7) and C(7,-1)