The equation of the sphere will be: xz = (x-2)^2 + (z-4)^2 = -11
What is the equation of a sphere?
The general equation of a sphere is: (x - a)^2 + (y - b)^2+ (z - c)^2 = r^2, where (a, b, c) equals the center of the sphere, r= radius, and x, y, and z are the coordinates of the points on the surface of the sphere respectively.
The general equation will be
(x - 2)^2 + (y - 6)^2+ (z - 9)^2 = 25
xy plane: (x - 2)^2 + (y -+6)^2 = 9
xz plane: (x - 2)^2 + (z - 4)^2 = -11
yz plane: (y +6)^2+ (z - 4)^2 = 21
Therefore, the equation will be xz = (x-2)^2 + (z-4)^2 = -11 because it does not intersect the XZ plane.
In conclusion, the equation of a sphere can be found using general equation.
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