Equal distance

Find the equation for all the points (x, y) that are equal in distance from points A(5,-2) and B(-2,10).

Correct answer:

e : 24 y -14 x - 75 = 0

Step-by-step explanation:

 A(5,2) B(2,10) d1=d2 AX= BX XA=XB (xAx)2+(yAy)2=(xBx)2+(yBy)2 (xAx)2+(yAy)2=(xBx)2+(yBy)2  (x5)2 +(y+2)2 = (x+2)2 +(y10)2 (x5)2 +(y+2)2 = (x+2)2 +(y10)2  24 y 14 x  75 = 0  e:e=24 y14 x75=0

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