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PRINCIPLE OF MATHEMATICAL INDUCTION — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPRINCIPLE OF MATHEMATICAL INDUCTION1 Mark
MCQ
If $x^n-1$ is divisible by $x-\lambda$, then the least positive integral value of $\lambda$ is:
  • ✓
    1
  • B
    2
  • C
    3
  • D
    4
✓

Answer

Correct option: A.
1
  1. 1
Solution:
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 $\boldsymbol{\lambda}$ is 1.

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