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Quadratic Equation and Inequalities question

2023 · 13 Apr · Shift 1 · Q29
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  5. /2023 · 13 Apr · Shift 1 · Q29

Quadratic Equation and Inequalities question

2023 · 13 Apr · Shift 1 · Q29

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1
The 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 :
  1. A
    (−∞,∞)(-\infty, \infty)(−∞,∞)
  2. B
    (−6,∞)(-6, \infty)(−6,∞)
  3. C
    (−∞,−3)(-\infty,-3)(−∞,−3)
  4. D
    (−6,−3)(-6,-3)(−6,−3)
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