If the points (1,1), (-1, -1) and ( - 3 ,k) are vertices of an eq… - Vidyadip

MCQ

If the points $(1,1)$, $(-1, -1)$ and $( - \sqrt 3 ,k)$ are vertices of an equilateral triangle then the value of $k$ will be

A
$1$
B
$-1$
✓
$\sqrt 3 $
D
$ - \sqrt 3 $

✓

Answer

Correct option: C.

$\sqrt 3 $

c
(c) ${l^2} = {2^2} + {2^2} = 8 = {(\sqrt 3 + 1)^2} + {(k - 1)^2}\,\, \Rightarrow \,\,k = \sqrt 3 $.

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