List of top Mathematics Questions

The term independent of $x$ in the expansion of $\left(x+\frac{1}{x^{2}}\right)^{6}$ is

The roots of the equation $\begin{vmatrix}x-1&1&1\\ 1&x-1&1\\ 1&1&x-1\end{vmatrix} = 0 $ are

The coefficient of $x^2$ in the expansion of the determinant $\begin{vmatrix}x^{2}&x^{3}+1&x^{5}+2\\ x^{2}+3&x^{3}+x&x^{3}+x^{4}\\ x+4&x^{3}+x^{5}&2^{3}\end{vmatrix}$ is

If the vectors $ \overrightarrow{a}=2\hat{i}+\hat{j}+4\hat{k},\overrightarrow{b}=4\hat{i}-2\hat{j}+3\hat{k} $ and $ \overrightarrow{c}=2\hat{i}-3\hat{j}-\lambda \hat{k} $ are coplanar, then the value of $\lambda$ is equal to

The boolean expression corresponding to the combinational circuit is

The derivative of $ {{\sin }^{-1}}(2x\sqrt{1-{{x}^{2}}}) $ with respect to $ {{\sin }^{-1}}(3x-4{{x}^{3}}) $ is

If $\left|z-\frac{3}{2}\right|=2$ , then the greatest value of $\left|z\right|$ is

$ \int{\frac{{{x}^{3}}\sin [{{\tan }^{-1}}{{(x)}^{4}}]}{1+{{x}^{8}}}}dx $ is equal to:

If $x_1$ and $x_2$ are the roots of $3x^2 - 2x - 6 = 0$, then $x_1^2 + x_2^2$ is equal to

If $x=exp\left\{tan^{-1}\left(\frac{y-x^{2}}{x^{2}}\right)\right\}$, then $\frac{dy}{dx}$ equals

If A and B are square matrices of the same order such that \(AB=BA\),then prove by induction that \(AB^n=B^nA\).Further, prove that \((AB)^n=A^nB^n\) for all \(n∈N\)

$ \displaystyle\lim_{x \to 1} [x -1]$, where [.] is greatest integer function, is equal to

Express the following as the sum of two odd primes.

1. 44
2. 36
3. 24
4. 18

Boolean Identity (A→ + B→).(A +B) is equal to

If a x b and c x d are perpendicular satisfying a.c = λ, b.d = λ (λ>0) and a.d = 4, b.c = 9, then λ is equal to:

The average production of rice from the graph is

How many odd days are there in 100 years?

Which day is 6the September 2021?

Find the area enclosed by y=x² and y=x+2

Series of 6, 9_ ,12, 24

Find the solution of the equation \(\frac{dy}{dx} =\frac{ 1}{cos(x+y)}\)

The area between y=x² and y=8-x²

Number of odd days's up to the year 2000

Pinky's birthday is on 29th February 2016 which is on Monday. If she lived till 2099, how many birthdays would come on Monday?

The probability of getting atleast 4 heads from 6 chances of tossing a coin