COMEDK · Maths · 7. Binomial Theorem
In the expansion \(\left(\dfrac{1}{x}+x \sin x\right)^{10}, \quad\) the co - efficient of \(6^{\text {th }}\) term is equal to \(7 \dfrac{7}{8}\), then the principal value of \(x\) is
- A \(60^{\circ}\)
- B \(30^{\circ}\)
- C \(25^{\circ}\)
- D \(45^{\circ}\)
Answer & Solution
Correct Answer
(B) \(30^{\circ}\)
Step-by-step Solution
Detailed explanation
The general term \(T_{r+1}\) in the expansion of \((a+b)^{n}\) is given by \(^{n}C_{r} a^{n-r} b^{r}\). For the expansion \(\left(\dfrac{1}{x} + x \sin x\right)^{10}\), the \(6^{th}\) term corresponds to \(r = 5\).…
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