A) \[(\infty ,1]\cup (2,\infty ]\]
B) \[[-\infty ,1)\cup [2,\infty )\]
C) \[(-\infty ,2]\cup (3,\infty ]\]
D) \[(-\infty ,2)\cup [3,\infty )\]
Correct Answer: A
Solution :
Here, it is given that (a, a2, a) and (3, 2, 1) lies on same side of x. + y - 4z + 2 = 0 \[\therefore \] (a + a2-4a + 2) (3 + 2 - 4 + 2) > 0 \[\Rightarrow \] \[({{a}^{2}}-3a+2)>0\] \[(a-1)(a-2)>0\] \[a\in (-\infty ,1]\cup (2,\infty ]\]
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