Math, asked by johankurian, 7 months ago

Please help solve this question

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Answered by vetrivelnatarajan52
0

please mark my answer as brainlylist.

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Answered by abhi52329
1

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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