Multiple choice

The distance between the circumcentre and the ortho centre of the triangle formed by the points $(2, 1, 5), (3, 2, 3)$ and $(4, 0, 4)$ is

  1. $\sqrt{6}$
  2. $\displaystyle \dfrac{\sqrt{6}}{2}$
  3. $2\sqrt{6}$
  4. $0$
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D Correct answer
Explanation

The points (2, 1, 5), (3, 2, 3), and (4, 0, 4) form an equilateral triangle. In an equilateral triangle, the circumcentre and orthocentre coincide, so the distance between them is 0.

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