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Mathematical Induction — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsMathematical Induction1 Mark
MCQ
If $x^n - 1$ is divisible by $\text{x}-\lambda,$ then the least positive integral value of $\lambda$ is:
  • ✓
    $1$
  • B
    $2$
  • C
    $3$
  • D
    $4$
✓

Answer

Correct option: A.
$1$
Given
$x^n - 1$
We know that
$x = k$ is the root of the equation$(x - 1)$
$\Rightarrow x^n - 1 = 0$
$\Rightarrow x^n = 1$
Hence, the least positive integral value of $\lambda$ is $1.$

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