If the point `P(x, y)` be equidistant from the points `(a+b, b-a) and (a-b, a + b)`, prove that `(a-b)/(a+b) = (x-y)/(x+y)`.

If the point P(x, y) be equidistant from the points A(a+b, a-b) and B(a-b, a+b) then

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

If the point P(x, y) is equidistant from the points A(a + b, b-a) and B(a-b, a + b). Prove that bx = ay.

If the point P(x ,\ y) is equidistant from the points A(5,\ 1) and B(1,\ 5) , prove that x=y .

Point P(x,y) is equidistant from the points A(-2,0) and B(3,-4) Prove that : 10 x - 8 y = 21.

If the point P(x ,\ y) is equidistant from A(5,\ 1) and B(-1,\ 5) , then (a) 5x=y (b) x=5y (c) 3x=2y (d) 2x=3y

If R(x , y) is a point on the line segment joining the points P(a , b)a n dQ(b , a), then prove that x+y=a+b

If R(x , y) is a point on the line segment joining the points P(a , b)a n dQ(b , a), then prove that x+y=a+b

If (x,y) be any point on the line segment joinijng the points (a,0)and (0,b) then prove that x/b+y/b=1.

If the equation of the locus of a point equidistant from the points (a_1,b_1) and (a_2,b_2) is (a_1-a_2)x+(b_2+b_2)y+c=0 , then the value of C is