AP EAMCET · Maths · Binomial Theorem
Numerically greatest term in the expansion of \((5+3 x)^6\), when \(x=1\). is
- A \(3^5 \times 5^3\)
- B \(3^3 \times 5^5\)
- C \(3^2 \times 5^5\)
- D \(3^4 \times 5^4\)
Answer & Solution
Correct Answer
(B) \(3^3 \times 5^5\)
Step-by-step Solution
Detailed explanation
Let \(T_{\mathrm{r}+1}\) be the greatest term so, \(\frac{T_{r+1}}{T_r} \geq 1\)…
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
- Two equal sides of an isosceles triangle are given by \(7 x-y+3=0\) and \(x+y-3=0\). If the slope \(m\) of the third side is an integer, then \(m=\)AP EAMCET 2019 Easy
- The line joining the points \((0,3)\) and \((5,-2)\) is a tangent to the curve \(y=\frac{c}{x+1}\), then \(c=\)AP EAMCET 2022 Easy
- The common tangent to the parabola \(y^2=32 x\) and \(x^2=256 y\) will beAP EAMCET 2020 Easy
- If a cylindrical vessel of given volume \(V\) with no lid on the top is to be made from a sheet of metal, then the radius \((r)\) and height \((h)\) of the vessel so that the metal sheet used is minimum, isAP EAMCET 2017 Hard
- If the pair of lines represented by \(3 x^2-5 x y+P y^2=0\) and \(6 x^2-x y-5 y^2=0\) have one line in common, then the sum of all possible values of \(P\) isAP EAMCET 2024 Easy
- The mean deviation about the mean for the following data is
AP EAMCET 2019 Easy
More PYQs from AP EAMCET
- An ideal gas expands isothermally from volume \(V_1\) to volume \(V_2\). It is then compressed to the original volume \(V_1\) adiabatically. If \(p_1, p_2\) and \(W\) represent the initial pressure, final pressure and the net work done by the gas respectively during the entire process, thenAP EAMCET 2010 Medium
- The sum of first \(n\) terms of the series \(\frac{3}{5}+\frac{21}{25}+\frac{117}{125}+\ldots\) isAP EAMCET 2019 Medium
- The emf (in V) of a Daniell cell containing \(0.1 \mathrm{MZnSO}_4\) and \(0.01 \mathrm{M} \mathrm{CuSO}_4\) solutions at their respective electrodes is
\(\left(E_{\mathrm{Cu}^{2+} / \mathrm{Cu}}^{\circ}=+0.34 \mathrm{~V} ; E_{\mathrm{Zn}^{2+} / \mathrm{Zn}}^{\circ}=-0.76 \mathrm{~V}\right)\)AP EAMCET 2012 Easy - At \(\mathrm{T}(\mathrm{K})\), the vapour pressure of water is \(x \mathrm{kPa}\). What is the vapour pressure (in kPa ) of 1 molal solution containing non-volatile solute ?AP EAMCET 2025 Medium
- When a metal surface is irradiated with light of frequency \(x \mathrm{~Hz}\), the kinetic energy of emitted photoelectrons is \(z \mathrm{~J}\). When the same metal is irradiated with light of frequency \(y \mathrm{~Hz}\), the kinetic energy of emitted electrons is \(\frac{\mathrm{z}}{3} \mathrm{~J}\). What is the threshold frequency (in Hz ) of metal?AP EAMCET 2025 Medium
- The greatest positive integer which divides \((n+16)\) \((n+17)(n+18)(n+19)\), for all positive integers \(n\), isAP EAMCET 2016 Medium