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18 May, 21:30

Find an equation of the sphere with center (2, - 6, 4) and radius 5. Describe its intersection with each of the coordinate planes

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  1. 18 May, 21:40
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    Since this is a 3D object, the center of the sphere has 3 coordinates: x=2, y = - 6 and z = 4.

    The equation would be:

    (x-2) ^2 + (y+6) ^2 + (z-4) ^2 = 5^2 (answer).

    To find the equation of the intersection of this sphere with the xy plane, let z = 0. Then (x-2) ^2 + (y+6) ^2 + (0-4) ^2 = 25

    This simplifies to (x-2) ^2 + (y+6) ^2 = 5^2 (or 25).

    Find and describe the sphere's intersections with the other 2 coord. planes.
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