find the equation of the set of points which are equidistant from the points (1,2,3) and (3,2,-1).
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any point on the plane (x, y, z)
(x-1)²+(y-2)²+(z-3)²=(x-3)²+(y-2)²+(z+1)²
-2x+1-4y+4+-6z+9=-6x+9-4y+4+2z+1 (cancelling x², y², z² both sides)
4x-8z=0.....
(x-1)²+(y-2)²+(z-3)²=(x-3)²+(y-2)²+(z+1)²
-2x+1-4y+4+-6z+9=-6x+9-4y+4+2z+1 (cancelling x², y², z² both sides)
4x-8z=0.....
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Here's ur answer
Hope it helps
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