[" If the points "(2,1)" and "(1,-2)" are equidistant from "],[" the point "(x,y)," prove that "x+3y=0" ."]

Similar Questions

Explore conceptually related problems

If the points (2,1) and (1,-2) are equidistant from the point (x,y), show that x+3y=0

If the points (2,\ 1) and (1,\ -2) are equidistant from the point (x ,\ y) , show that x+3y=0 .

If the points (5, 4) and (x, y) are equidistant from the point (4, 5) , prove that x^(2)+y^(2)-8x-10y+39=0

Prove that the points (2, -5) & (-1, 4) are equidistant from the line 3x+y-5=0 .

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

If the point (x,y) be equidistant from the points (10,0) (0,-10) and (-8,6) then prove that x =0 and y =0.

If the point (x,y) is equidistant from the points (a-b,a+b) and (-a-b,a+b) . Prove that x+b=0

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(5,1) and B(-1,5), prove that 3x=2y

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