Question

Give one pair of values of x and y such that (x y) is equidistant from the points (-1, 8) and (3, 4) . justify your steps

Answer 1

(-1 ,   4) , (0  ,  5) & (1   ,  6) are few such pairs that are equidistant from the points (-1, 8) and (3, 4)

Step-by-step explanation:

(x y) is equidistant from the points (-1, 8) and (3, 4)

=> √(x + 1)² + (y - 8)²  = √(x - 3)² + ( y - 4)²

Squaring both sides

=> x² + 1 + 2x + y² + 64 - 16y = x² + 9 - 6x + y² + 16 - 8y

=> 8x - 8y  + 40 = 0

=> x - y + 5 = 0

All points lying on  x - y + 5 = 0 will be equidistant from (-1, 8) and (3, 4)

x     y

-1    4

0    5

1     6

Learn more:

Find the value of x if p(x 2) is equidistant from the point a(2 -1)and b ...

https://brainly.in/question/8273420

if xy=2then point (x,y) is equidistant from(7,1)and

https://brainly.in/question/13930073