CAT 2021 Slot 1 · Quant · Question 5
CAT 2021 Slot 1 previous year question on Quadratic Equations, with the answer and a step-by-step solution.
If r is a constant such that \left|{x}^{2}-4x-13 \right|=r has exactly three distinct real roots, then the value of r is
- A15
- B21
- C18
- D17
Pick an option, then check.
Answer & solution
Answer: Option D
For exactly three roots, one of the two quadratics must have a repeated root.
For \left|{x}^{2}-4x-13 \right|=r
|({x-2)}^{2}-17|=r
In the case when root the equal x – 2 = 0
|-17|=r
r=17.
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