If the term independent of x in the expansion of ( x - x ^ 2 )^ 10 is 405, then λ equals

Mathematics · JEE Main · NTA ExamsBinomial Theorem And Its Simple Applications

If the term independent of x in the expansion of \(\left(\sqrt{\mathrm{x}}-\frac{\lambda}{\mathrm{x}^{2}}\right)^{10}\) is 405, then λ equals
  1. –3
  2. 3
  3. 3 or –3
  4. None of these

Answer

(C) 3 or –3

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