Question

if the distance of the p( x, y) from the A (5,1) B(- 1 ,5) are equal prove that 3 x is equal to 2 y​

Answer 1

Answer:

the only relation which is in x and y is in photo..

Answer 2

Step-by-step explanation:

AP = PB

(by using distance formula)

$\sqrt{( {5 - x)}^{2} + {(1 - y)}^{2} } = \sqrt{ {( - 1 - x)}^{2} + {(5 - y)}^{2} }$

(squaring both sides)

$( {5 - x)}^{2} + {(1 - y)}^{2} = ( - 1 - x)^{2} + {(5 - y)}^{2}$

${5}^{2} + {x}^{2} - 10x + {1}^{2} + {y}^{2} - 2y = { 1}^{2} + {x}^{2} + 2x + {5}^{2} + {y}^{2} - 10y$

$- 10x - 2y = 2x - 10y$

$- 5x - y = x - 5y$

$4y = 6x$

$2y = 3x$

Hence Proved