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