JEE Main 202313 Apr, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002The set of all a∈Ra \in \mathbb{R}a∈R for which the equation x∣x−1∣+∣x+2∣+a=0x|x-1|+|x+2|+a=0x∣x−1∣+∣x+2∣+a=0 has exactly one real root, is :AOption A. (−∞,∞)(-\infty, \infty)(−∞,∞)BOption B. (−6,∞)(-6, \infty)(−6,∞)COption C. (−∞,−3)(-\infty,-3)(−∞,−3)DOption D. (−6,−3)(-6,-3)(−6,−3)CheckSkip · show solution