List of top Mathematics Questions

The number \(0.4\overline{23}\) converted to a fraction, then it is equal to:
Let tan-1 x ∈(\(-\frac π2\) \(\frac π2\))  for x ∈ R. Then the number of real solutions of the equation \(\sqrt{1 + \cos (2x)} = \sqrt2 \tan^{-1}(\tan x)\) in the set \((-\frac{3π}{2}, -\frac{π}{2}) ∪ (-\frac{π}{2},\frac{π}{2}) ∪ (\frac{π}{2},\frac{3π}{2})\) is equal to
Let Dk=\(\begin{vmatrix} 1 & 2k & 2k-1\\ n & n^2+n+2 & n^2 \\ n & n^2+n & n^2+n+2 \end{vmatrix} \) If \(∑^n_{k=1} D_k=96,\) The n is equal to
Let \(a \in R\) and let \(\alpha, \beta\) be the roots of the equation \(x^2+60^{\frac{1}{4}} x+a=0\). If \(\alpha^4+\beta^4=-30\), then the product of all possible values of \(a\) is_____
Let B =\(\begin{bmatrix} 1 & 3 & α \\ 1 & 2& 3 \\ α & α & 4 \end{bmatrix}\) , α>2 be the adjoint of a matrix A and |A| = 2, then [α - 2α α] B\(\begin{bmatrix} α \\ -2α  \\ α \end{bmatrix}\)is equal to
The number of real values $\lambda$, such that the system of linear equations $2 x-3 y+5 z=9 $ $ x+3 y-z=-18 $ $ 3 x-y+\left(\lambda^2-|\lambda|\right) z=16$ has no solution, is :-
Let $S=\{\theta \in[0,2 \pi): \tan (\pi \cos \theta)+\tan (\pi \sin \theta)=0\}$ Then $\displaystyle\sum_{\theta \in s } \sin ^2\left(\theta+\frac{\pi}{4}\right)$ is equal to _______
Rank of the word PUBLIC is?
Consider a function f:N→R, satisfying
$ f(1)+2f(2)+3f(3)+⋯+xf(x)=x(x+1)f(x);x≥2 with f(1)=1.$
Then $\frac{1}{f(2022)} + \frac{1}{f(2028)}$ is equal to $
f(x) is differentiable function and given f'(2)=6, f'(1)=4, then \(\lim_{h\rightarrow0}\frac{f(2+2h+h^2)-f(2)}{f(1+h-h^2)-f(1)}\)
Let $S =\{1,2,3,5,7,10,11\}$ The number of non-empty subsets of $S$ that have the sum of all elements a multiple of 3 , is _____
Let $A =\left[ a _{i j}\right], a _{i j} \in Z \cap[0,4], 1 \leq i, j \leq 2$ .
The number of matrices $A$ such that the sum of all entries is a prime number $p \in(2,13)$ is _____.
Let a and b are roots of x2 – 7x – 1 = 0. The value of \(\frac{a^{21} + b^{21} + a^{17} + b^{17}}{a^{19} + b^{19}}\) is?
if f(x)= \(\frac{(tan1\degree)x+\log_e(123)}{x\log_e(1234)-(tan1\degree)},x>0\) , then the least value of \(f(f(x))+f(f(\frac{4}{x}))\)is
If \(I_n=\int_{0}^{\frac{\pi}{2}}cos^nxcos\,nxdx\), then \(I_1,I_2,I_3\).....are in

Let $a_1, a_2, a_3, \ldots$ be an AP If $a_7=3$, the product $a_1 a_4$ is minimum and the sum of its first $n$ terms is zero, then $n !-4 a_{n(n+2)}$ is equal to :

In the angle of the shadow of a 30 m long pool is 10√3m, then the angle elevation of the sun is 

In the range of f(x)=6x+3x+6-x+3-x+2 is a subset of

Find the sum and product of the root for the quadratic equation x2+4=0

A tower of 45 cm high costs a shadow of 12 cm, then the angle of elevation of the dun is

Calculate the value of ∫1 (tan-1x/1+x2) dx

The equation of the straight line which passes through the point (-5,4) and is such that the position of it between them is divided by the given point in the ratio 1:2: is_____.

In an examination marks obtain by students in physics, maths and statistics denoted by x,y, and z are normally distributed with means 50,52 and 48 respectively and standard deviation 13,12,16, rape. the distribution of (x+y+x) is_____

The domain of the defination of the function f(x) given by the euation an+a4=a is____(a>1).

The value of sin34°+cos64°-cos4° is______