Question

Find the relation between x and y such that point x, y is equal distance from the point 36 and - 3, 4

Answer 1

Answer:

Step-by-step explanation:

Let the points be a (3,6) and b(-3,4)

And m(x,y)

Given point m is equidistant from a and b

=> ax=bx

=> √(3-x)²+(6-y)²=√(-3-x)²+(4-y)²

=> 9+x²-6x + 36+y²-12y= 9+x²+6x + 16+y²-8y

=>9-9+x²-x² -6x-6x= 16-36-y²+12y+y²-8y

=> -12x = -20 +4y

=> 12x +4y = 20 ( deviding whole by 4

=> 3x+y = 20

= difference between x and y