A) Form an A.P.
B) Form a G.P.
C) Form an H.P.
D) Do not form any progression
Correct Answer: A
Solution :
[a] The given eq. can be written as \[|x-1{{|}^{2}}-4|x-1|+3=0\] \[\Rightarrow \,\,\,(|x-1|-3)(|x-1|-1)=0\] If \[|x-1|-3=0\Rightarrow x-1=\pm 3\Rightarrow x=-2\] or 4 If \[|x-1|-1=0\Rightarrow x-1=\pm 1\Rightarrow x=0\] or 2 The four roots are -2, 0, 2, 4 and are in A.P.
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