TS EAMCET · Maths · Binomial Theorem
If the coefficients of \((2 \alpha+4)\) th and \((\alpha-2)\) th terms in the expansion \((1+x)^{2018}\) are equal, then \(\alpha=\)
- A 673
- B 674
- C 675
- D 676
Answer & Solution
Correct Answer
(A) 673
Step-by-step Solution
Detailed explanation
General term in the expansion of \((1+x)^{2019}\) is \[ \mathrm{T}_{p+1}={ }^{2019} \mathrm{C}_p \chi^p \] \(\therefore\) Coefficient of \((2 \alpha+4)\) th term \(={ }^{2019} C_{2 \alpha+3}\) and coefficient of \((\alpha-2)\) th term \(={ }^{2019} C_{\alpha-3}\) According to…
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