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Binomial Theorem — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsBinomial Theorem1 Mark
MCQ
If the co $-$ efficient of $x$ in $\Big(\text{x}^2+\frac{\lambda}{\text{x}}\Big)^5$is $270$, then $ \lambda=$
  • ✓
    $3$
  • B
    $4$
  • C
    $5$
  • D
    None of these
✓

Answer

Correct option: A.
$3$
Now, the co $-$ efficient of $x$ in $\Big(\text{x}^2+\frac{\lambda}{\text{x}}\Big)^5$is ${^6}\text{C}_{3}\cdot(\lambda)^3$or $10(\lambda)^3.$
According to the problem $10(\lambda)^{3}=270,$ or $(\lambda)=3.$

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