JEE Mains · Maths · STD 11 - 7. binomial theoram
The term independent of \(x\) in the expression of \(\left(1-x^{2}+3 x^{3}\right)\left(\frac{5}{2} x^{3}-\frac{1}{5 x^{2}}\right)^{11}, x \neq 0\) is
- A \(\frac{7}{40}\)
- B \(\frac{33}{200}\)
- C \(\frac{39}{200}\)
- D \(\frac{11}{50}\)
Answer & Solution
Correct Answer
(B) \(\frac{33}{200}\)
Step-by-step Solution
Detailed explanation
\(\left(1-x^{2}+3 x^{3}\right)\left(\frac{5}{2} x^{3}-\frac{1}{5 x^{2}}\right)^{11}\) General term of \(\left(\frac{5}{2} x ^{3}-\frac{1}{5 x ^{2}}\right)^{11}\) is \({ }^{11} C_{r}\left(\frac{5}{2} x^{3}\right)^{11-r}\left(-\frac{1}{5 x^{2}}\right)^{ r }\) General term is…
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