A) 2
B) -3
C) -4
D) None of these
Correct Answer: D
Solution :
Let the given points are A (0,0), \[B\left( 3,\,\sqrt{3} \right)\]and \[C\left( 3,\,\lambda \right)\]. |
Since, \[\Delta ABC\]is an equilateral triangle, |
Therefore |
AB=AC |
\[\Rightarrow \,\,\,\sqrt{{{\left( 3-0 \right)}^{2}}+{{\left( \sqrt{3}-0 \right)}^{2}}}=\sqrt{{{\left( 3-0 \right)}^{2}}+{{\left( \lambda -0 \right)}^{2}}}\] |
\[\Rightarrow \,\,\,9+3=9+{{\lambda }^{2}}\] |
\[\Rightarrow \,\,\,{{\lambda }^{2}}=3\] |
\[\Rightarrow \,\,\,\,\lambda =\pm \sqrt{3}\] |
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