Question

If λ  is the distance between orthocentre & circumcentre of triangle with vertices (1, 0), $\left( - \frac{1}{2},\frac{\sqrt{3}}{2} \right),\left( - \frac{1}{2},\frac{- \sqrt{3}}{2} \right)$then $\underset{x \rightarrow \lambda}{Lim}$ [x] is

• A. 0
• B. – 1
• C. 1
• D. Does not exist

Answer 1

Answer: (D)

Does not exist

Answer 2

If A,B,C are vertices then AB = BC = CA=$\sqrt { 3 }$

⇒ ∆ABC is

equilateral

⇒ Required distance = 0 = λ

⇒ [x] = Does not exist