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∣ ∣X−A∣=∣X−B∣ (x−Ax​)2+(y−Ay​)2​=(x−Bx​)2+(y−By​)2​ (x−Ax​)2+(y−Ay​)2=(x−Bx​)2+(y−By​)2  (x−5)2 +(y+2)2 = (x+2)2 +(y−10)2 (x−5)2 +(y+2)2 = (x+2)2 +(y−10)2  24 y −14 x − 75 = 0  e:e=24 y−14 x−75=0

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