If the constant term | Binomial Theorem | JEE-MAIN 2022

Competishun Header

JEE MAIN 2022

29-06-22 S1

Question

If the constant term in the expansion of $\left(3 x^3-2 x^2+\frac{5}{x^5}\right)^{10}$ is $2^k . l$, where $l$ is an odd integer, then the value of $k$ is equal to:

Select the correct option:

A

6

B

7

C

8

D

9

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

Start Preparing for JEE with Competishun

Filters 0

Showing 18 questions

An electromagnetic wave travels in free space along the $x$-direction. At a particular point in space and time, $...

JEE MainPhysicsEasy

View Solution→

A spherical ball of mass 2 kg falls from a height of 10 m and is brought to rest after...

JEE MainPhysicsEasy

View Solution→

If an air bubble of diameter 2 mm rises steadily through a liquid of density $2000 \mathrm{~kg} / \mathrm{m}^3$ at...

JEE MainPhysicsMedium

View Solution→

A mixture of carbon dioxide and oxygen has volume $8310 \mathrm{~cm}^3$, temperature 300 K , pressure 100 kPa and mass...

JEE MainPhysicsMedium

View Solution→

The surface tension of a soap bubble is $0.03 \mathrm{~N} / \mathrm{m}$. The work done in increasing the diameter of...

JEE MainPhysicsEasy

View Solution→

In a screw gauge the zero of main scale reference line coincides with the fifth division of the circular scale...

JEE MainPhysicsMedium

View Solution→

If a body of mass 1 kg falls on the earth from infinity, it attains velocity $(v)$ and kinetic energy...

JEE MainPhysicsEasy

View Solution→

If X and Y are the inputs, the given circuit works as _____ .

JEE MainPhysicsEasy

View Solution→

A particle having charge $10^{-9} \mathrm{C}$ moving in $x-y$ plane in fields of $0.4 \hat{j} \mathrm{~N} / \mathrm{C}$ and $...

JEE MainPhysicsMedium

View Solution→

Two blocks of masses 2 kg and 1 kg respectively, are tied to the ends of a string which passes...

JEE MainPhysicsMedium

View Solution→

A 0.5 kg mass is in contact against the inner wall of a cylindrical drum of radius 4 m rotating...

JEE MainPhysicsEasy

View Solution→

Dimensions of universal gravitational constant (G) in terms of Planck's constant (h), distance (L), mass (M) and time (T) are...

JEE MainPhysicsMedium

View Solution→

Refer the figure given below. m1 and m2 are refractive indices of air and lens material. The height of image...

JEE MainPhysicsEasy

View Solution→

For a thin symmetric prism made of glass (refractive index 1.5 ), the ratio of incident angle and minimum deviation...

JEE MainPhysicsEasy

View Solution→

A tub is filled with water and a wooden cube $10 \mathrm{~cm} \times 10 \mathrm{~cm} \times 10 \mathrm{~cm}$ is placed...

JEE MainPhysicsEasy

View Solution→

A uniform wire of length $l$ of weight w is suspended from the roof with a weight of W at...

JEE MainPhysicsMedium

View Solution→

$1 \mu \mathrm{C}$ charge moving with velocity $\vec{v}=(\hat{i}-2 \hat{j}+3 \hat{k}) \mathrm{m} / \mathrm{s}$ in the region of magnetic field $...

JEE MainPhysicsEasy

View Solution→

A vessel contains $0.15 \mathrm{~m}^3$ of a gas at pressure 8 bar and temperature $140^{\circ} \mathrm{C}$ with $c_p=3 R$ and...

JEE MainPhysicsMedium

View Solution→