Consider a sphere passing through the origin and the points $(2,1,-1),(1,5,-4),(-2,4,-6)$. Consider the following statements: 1. The sphere passes through the point $(0,4,0)$. 2. The point $(1,1,1)$ is at a distance of 5 unit from the centre of the sphere. Which of the above statements is/are correct?

• Correct answer
  A

  1 only
• B

  2 only
• C

  Both 1 and 2
• D

  Neither 1 nor 2

Hence, the correct answer is option: 'A'.