JEE Mains · Maths · STD 11 - 7. binomial theoram
The total number or irrational terms in the binomial expansion of \(\left( {{7^{1/5}} - {3^{1/10}}} \right)^{60}\) is
- A \(55\)
- B \(49\)
- C \(48\)
- D \(54\)
Answer & Solution
Correct Answer
(D) \(54\)
Step-by-step Solution
Detailed explanation
General term \(\mathrm{T}_{\mathrm{r}+1}=^{60} \mathrm{C}_{\mathrm{r}}, 7^{\frac{\mathrm{e}-\mathrm{r}}{5}} 3^{\frac{\mathrm{r}}{10}}\) for rational term, \(\mathrm{r}=0,10,20,30,40,50,60\) \(\Rightarrow\) number of rational terms \(=7\) \(\therefore \) number of irrational…
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