Question

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

Answer 1

Answer:

Step-by-step explanation:

A(2,1) B(1,-2)  P(x,y)

let x1=2, y1=1, x2=1, y2=-2, x3=x, y3=y

using distance formula ( After Squaring both sides)

(x3-x1)^2 + (y3-y1)^2 = (x3-x2)^2 + (y3-y2)^2

(x-2)^2 + (y-1)^2 = (x-1)^2 + (y+2)^2

x^2 + 4 -4x + y^2 + 1 + 2y = x^2 + 1 -2x + y^2 + 4 + 4y

4 - 4x + 1 + 2y = 1 - 2x + 4 + 4y

1 - 4x + 2y = 1 - 2x + 4y

2x = 2y

x = y

H.P

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