TS EAMCET · Maths · Binomial Theorem
Numerically greatest term in the expansion of \((2 x-3 y)^{11}\) when \(x=\frac{1}{3}\) and \(y=\frac{1}{2}\) is
- A \({ }^{11} \mathrm{C}_8\left(\frac{2}{3}\right)^5\)
- B \({ }^{11} \mathrm{C}_3\left(\frac{3}{2}\right)^5\)
- C \({ }^{11} \mathrm{C}_2\left(\frac{3}{2}\right)^7\)
- D \({ }^{11} \mathrm{C}_2\left(\frac{2}{3}\right)^7\)
Answer & Solution
Correct Answer
(B) \({ }^{11} \mathrm{C}_3\left(\frac{3}{2}\right)^5\)
Step-by-step Solution
Detailed explanation
\((2 x-3 y)^{11}=(2 x)^{11}\left(1-\frac{3 y}{2 x}\right)^{11}\) for greatest term…
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