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Consider a sphere passing through the origin and the points (2 ,1 , - 1 ) , (1 ,5 , - 4 ) , ( - 2 , 4 , - 6).
What is the radius of the sphere ?
  • a)
  • b)
  • c)
    12
  • d)
    14
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider a sphere passing through the origin and the points (2 ,1 , - ...
Equation of sphere passing through origin is
x2 + y2 + z2 + 2ux + 2vy + 2wz = 0
which passes through the points (2, 1, -1) (1,5, -4), and (-2,4,-6) .
∵ 4u + 2 v - 2 w = - 6 ...(i)
 2u+10 v - 8w = - 42 ...(ii)
and - 4u + 8v - 12w = - 56 ...(iii)
From eqns (i), (ii) and (iii), we get 
u= 1, v = -2 and w=3
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Consider a sphere passing through the origin and the points (2 ,1 , - 1 ) , (1 ,5 , - 4 ) , ( - 2 , 4 , - 6).What is the radius of the sphere ?a)b)c)12d)14Correct answer is option 'B'. Can you explain this answer?
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