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Binomial Theorem — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsBinomial Theorem1 Mark
MCQ
If $^{(\text{a}^2-\text{a})}\text{C}_{\text{2}}=^{(\text{a}^2-\text{a})\text{}}\text{C}_{\text{4}},$ is then $x : Z$
  • A
    $2$
  • ✓
    $3$
  • C
    $4$
  • D
    None of these
✓

Answer

Correct option: B.
$3$
$\text{a}^{2}-\text{a}=2+4$
$\Rightarrow \text{a}^{2}-\text{a}-6=0$
$\Rightarrow \text{a}^{2}-3\text{a}+2\text{a}-6=0$
$\Rightarrow \text{a}(\text{a}-3)+2(\text{a}-3)=0$
$\Rightarrow (\text{a}+2)(\text{a}-3)=0$
$\Rightarrow \text{a}=-2,\text{a}=3$
$\text{a}=3$

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