TS EAMCET · Maths · Binomial Theorem
Numerically greatest term in the expansion of \((2 x-3 y)^n\) when \(x=\frac{7}{2}, y=\frac{3}{7}\) and \(n=13\) is
- A \(13.3^5 .7^9\)
- B \(13.3^4 .7^9\)
- C \(26.3^5 .7^9\)
- D \(26.3^4 .7^9\)
Answer & Solution
Correct Answer
(C) \(26.3^5 .7^9\)
Step-by-step Solution
Detailed explanation
\(r \le \frac{n+1}{1 + \left| \frac{2x}{-3y} \right|^{-1}}\) \(r \le \frac{13+1}{1 + \left| \frac{2(7/2)}{-3(3/7)} \right|^{-1}}\) \(r \le \frac{14}{1 + \left| \frac{7}{-9/7} \right|^{-1}}\) \(r \le \frac{14}{1 + \left| -\frac{49}{9} \right|^{-1}}\)…
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