Question

Please help solve this question

Answer 1

please mark my answer as brainlylist.

Answer 2

Answer:

Required relation is

$x = - y$

Distance between P and A is given by

$\sqrt{( {x - 3)}^{2} + {(y - 2)}^{2} }$

Also, Distance between P and B is given by

$\sqrt{ {(x - 2)}^{2} + {(y + 3)}^{2} }$

Since A and B are equidistant from P we can write

${(x - 3)}^{2} + {(y - 2)}^{2} = {(x - 2)}^{2} + {(y + 3)}^{2}$

or

${(x - 3)}^{2} - {(x - 2)}^{2} = {(y + 3)}^{2} - {(y - 2)}^{2}$

$(x - 3 - x + 2)(x - 3 + x - 2) = (y + 3 - y + 2)(y + 3 + y - 2)$

$( - 1)(2x - 5) = (5)(2y + 1)$

$- 10x + 5 = 10y + 5$

Required relation is

$x = - y$

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