JEE Mains · Maths · STD 11 - 7. binomial theoram
If the sum of the coefficients in the expansion of \((x+y)^{n}\) is \(4096,\) then the greatest coefficient in the expansion is .... .
- A \(111\)
- B \(222\)
- C \(924\)
- D \(347\)
Answer & Solution
Correct Answer
(C) \(924\)
Step-by-step Solution
Detailed explanation
\((\mathrm{x}+\mathrm{y})^{\mathrm{n}} \Rightarrow 2^{\mathrm{n}}=4096\quad 2^{10}=1024 \times 2\) \(\Rightarrow 2^{\mathrm{n}}=2^{12} \quad\quad\quad\quad\quad\quad 2^{11}=2048\) \(\mathrm{n}=12 \quad\quad\quad\quad\quad\quad\quad\quad 2^{12}=\underline{4096}\)…
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