Maths-
General
Easy
Question
Equation of sphere passing through the points (2,0,0),(0,2,0),(0,0,2) and having least possible radius is
Hint:
Let equation of the sphere be given by
Find the value of d.
The correct answer is:
Let equation of the sphere be given by ...... (1)
As the sphere passes through points (2, 0, 0), (0, 2, 0) and (0, 0, 2)
So, we have
2 + 4u + d = 0,
2 + 4v + d = 0 and
2 + 4w + d = 0
On solving,
u = v = w =
If r is the radius of the sphere, then
Also,
Taking LCM
Thus, equation of sphere passing through the points (2,0,0),(0,2,0),(0,0,2) and having least possible radius is
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