defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Mathematics Three Dimensional Geometry
The equation of a sphere circumscribing a tetrahedron whose faces are x = 0, y = 0, z = 0 and \(\rm \frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1\) is:
1
x2 + y2 + z2 = a2 + b2 + c2
2
x2 + y2 + z2 + 2ax + 2by + 2cz = 0
3
x2 + y2 + z2 + ax + by + cz = 0
4
x2 + y2 + z2 - ax - by - cz = 0