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Mathematical Induction — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSMathematical Induction1 Mark
Question
If xn - 1 is divisible by $\text{x}-\lambda,$ then the least positive integral value of $\lambda$ is:
  1. 1
  2. 2
  3. 3
  4. 4
✓

Answer

  1. 1

Solution:

Given

xn - 1

We know that

x = k is the root of the equation(x - 1)

⇒ xn - 1 = 0

⇒ xn = 1

Hence, the least positive integral value of $\lambda$ is 1.

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