Binomial Theorem And Its Simple Applications Question 39

Question: Find the 7th term from the end in the expansion of $ {{( x-\frac{2}{x^{2}} )}^{10}} $ .

Options:

A) $ ^{10}C_4 $

B) $ ^{10}C_4{{.2}^{4}}x $

C) $ 2^{4}.x^{2} $

D) $ ^{10}C_4{{.2}^{4}}( \frac{1}{x^{2}} ) $

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Answer:

Correct Answer: D

Solution:

  • [d] The 7th term from the end = 5th term from beginning $ T_5{{=}^{10}}C_4x^{6}{{( -\frac{2}{x^{2}} )}^{4}}={{,}^{10}}C_4{{.2}^{4}}( \frac{1}{x^{2}} ) $