AP EAMCET · Maths · Binomial Theorem
The number of rational terms in the expansion of is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Let, S=314+716144 General term of S is given by Tr+1=Cr144 3144-r47r6 Now, for the rational terms 144-r4∈Wwhole number For this r must be the multiple of 4 therefore r=0, 4, 8, ..., 140, 144 And, r6∈Wwhole number For this r…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If the vectors \(\mathbf{i}-2 x \mathbf{j}-3 y \mathbf{k}\) and \(\mathbf{i}+3 x \mathbf{j}+2 y \mathbf{k}\) are orthogonal to each other, then the locus of the point \((x, y)\) isAP EAMCET 2011 Easy
- The set of values of \(x \in \mathbb{R}\) satisfying the inequality \(x^2-4 x-21 \leq 0\) isAP EAMCET 2017 Easy
- The image of the point \((3,8)\) in the line \(x+3 y=7\) isAP EAMCET 2011 Medium
- \[
\lim _{x \rightarrow 9} \frac{(2.5)^{81-x^2}-(0.4)^{x+9}}{x+9}=
\]AP EAMCET 2023 Easy - A Box \(B_1\) contains 3 blue balls and 6 red balls. Another Box \(B_2\) contains 8 blue balls and ' \(n\) ' red balls \((n \in N)\). A ball selected at random from a box is found to be red. If \(p\) is the probability that this red ball drawn is from box \(B_2\), thenAP EAMCET 2019 Medium
- If \(g\left(\frac{t+1}{2 t+1}\right)=t+1\), then \(\int g(x) d x=\)AP EAMCET 2018 Medium
More PYQs from AP EAMCET
- If the wavelengths of maximum intensity of radiation emitted by two black bodies \(A\) and \(B\) are \(0.5 \mu \mathrm{~m}\) and 0.1 mm respectively, then ratio of the temperatures of the bodies A and B isAP EAMCET 2025 Easy
- If \(l, m, n\) are in arithmetic progression, then the straight line \(l x+m y+n=0\) will pass through the pointAP EAMCET 2008 Medium
- Two of the products formed by the reaction of ' X ' with HCl are gases. What is ' X '?AP EAMCET 2024 Medium
- The ratio of the wavelengths of the first Lyman line and the second Balmer line of hydrogen atom isAP EAMCET 2025 Medium
- The anode and cathode used in electrolytic refining of copper respectively areAP EAMCET 2024 Easy
-
\( ext{Correct answer is}\)List - I List - II Vinyl 1-Bromo-1-phenylethane Allyl 3-Bromotoluene Benzyl 1-Bromo-3-methylcyclohexene Aryl 3-Bromo-4-methylcyclohexene AP EAMCET 2025 Medium