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The equation ||x-1|+a | =4,a in R, has :...

The equation `||x-1|+a | =4,a in R,` has :

A

3 distinet real roots for unique value of a.

B

4 distinct real roots for `a in (-oo, -4)`

C

2 distinct real roots for `|a| lt 4`

D

no rela roots for `a gt 4`

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The correct Answer is:
A, B, C, D
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