A) \[\sqrt{3},\sqrt{2}\]
B) \[\sqrt{3},-\sqrt{3}\]
C) \[-\sqrt{5},\sqrt{3}\]
D) \[\sqrt{2},-\sqrt{2}\]
Correct Answer: B
Solution :
Since, \[A(0,1),\text{ }B(0,-1)\]and \[C(x,0)\]are the vertices of an equilateral \[\Delta \Alpha \Beta C.\] \[\therefore \] \[AB=BC\] \[\Rightarrow \] \[\sqrt{0+4}=\sqrt{{{x}^{2}}+1}\] \[\Rightarrow \] \[{{x}^{2}}=3\] \[\Rightarrow \] \[x=\pm \sqrt{3}\]You need to login to perform this action.
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