Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematics Three Dimensional Geometry Conic 3D
Equation of the sphere that passes through the points (0, 0, 0), (a, 0, 0), (0, b, 0), (0, 0, c) is -
1
\((x - \frac{a}{2})^2\) + \((y - \frac{b}{2})^2\) + \((z - \frac{c}{2})^2\) = \(\frac{1}{2}\) (a2 + b2 + c2)
2
x2+ y2 + z2 = a2 + b2 + c2
3
\((x - \frac{a}{2})^2\) + \((y - \frac{b}{2})^2\) + \((z - \frac{c}{2})^2\) = \(\frac{1}{4}\) (a2 + b2 + c2)
4
(x – a)2 + (y – b)2 + (z – c)2 = \(\frac{1}{2}\)\(\sqrt{(a^2 + b^2 + c^2)}\)