Question

If the points (2,1) and (1,-2) are equidistant from the point (x,y) , find the relation between x, y

Answer 1

Answer:

The distances of the point (2,1) and (1,−2) from (x,y) are

(x−2)

2

+(y−1)

2

and

(x−1)

2

+(y+2)

2

units respectively.

According to the problem,

(x−2)

2

+(y−1)

2

=

(x−1)

2

+(y+2)

2

or, (x−2)

2

+(y−1)

2

=(x−1)

2

+(y+2)

2

or, −4x+4−2y+1=−2x+1+4y+4

or, 2x+6y=0

or, x+3y=0.