Question

find relationship between X and y in the given question​

Answer 1

Answer:

if both are equidistant then according to distance formula:-

$\sqrt{ {(x - 1)}^{2} + {(2 - y)}^{2} } = \sqrt{ {(x - 7)}^{2} + ( {2 - 4)}^{2} } \\ {x}^{2} - x + 1 + 4 - 4y + {y}^{2} = {x}^{2} - 14x + 49 + 4 \\ {x}^{2} - x + 5 - 4y + {y}^{2} = {x}^{2} - 14x + 53 \\ - x + 14x - 4y + {y}^{2} = 53 - 5 \\ 13x - 4y + {y}^{2} = 48$

this is the relationship between x and y