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14 September, 22:13

Find an equation of the sphere that passes through the origin and whose center is (6,-7,7).

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  1. 14 September, 23:31
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    The equation of a sphere of radius r with centre at (a, b, c) is

    (x-a) ^2 + (y-b) ^2 + (z-c) ^2=r^2

    Thus with (a, b, c) = (6,-7,7), the equation of the sphere is

    (x-6) ^2 + (y+7) ^2 + (z-7) ^2=r^2
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