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Complex Numbers and Quadratic Equations — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsComplex Numbers and Quadratic Equations1 Mark
MCQ
Which is the largest negative integer which satisfies $\frac{(\text{x}^2 – 1)}{(\text{x} – 2)(\text{x} – 3)}$ ?
  • A
    $-4$
  • B
    $-3$
  • C
    $-1$
  • ✓
    $-2$
✓

Answer

Correct option: D.
$-2$
$\frac{(\text{x}^2 – 1)}{(\text{x} – 2)(\text{x} – 3)} > 0$
So, $x = -1, 1, 2, 3$
Thus, $\text{x}\in(-\infty, -1)\cup(1,\text{ 2})\cup(3,\infty)$
Therefore, the largest negative integer is $-2.$

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