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JEE Math Practice Question

The set of all $$a \in \mathbb{R}$$ for which the equation $$x|x-1|+|x+2|+a=0$$ has exactly one real root, is :

  1. A.$$(-\infty, \infty)$$
  2. B.$$(-6, \infty)$$
  3. C.$$(-\infty,-3)$$
  4. D.$$(-6,-3)$$

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