List of top Mathematics Questions

If the domain of the function $f(x)=\frac{[x]}{1+x^2}$, where $[x]$ is greatest integer $\leq x$, is $[2,6)$, then its range is

Let y = y(x) be a solution of the differential equation (x cos x)dy +(xy sin x + y cos x – l)dx = 0, 0 < x < \(\frac{π}{2}\). If\(\frac{π}{3}y(\frac{π}{3})=\sqrt3\), then \(| \frac{π}{6 }y“( \frac{π}{6})+2 y'( \frac{π}{6})| \) is equal to______.
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
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 _______
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 $A =\left[ a _{i j}\right], a _{i j} \in Z \cap[0,4], 1 \leq i, j \leq 2$ .
The number of matrices $A$ such that the sum of all entries is a prime number $p \in(2,13)$ is _____.
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______

y x is normal variate such that mx(t)=e3+8+2,then the varience is 

20 persons are invited for a party. the number of ways in which they and the host can be seated at a circular table y two partocular person can be seated on either side og the host is qual to 

What will be the quadratic equation x when the roots have arithmetic mean A and geometric mean B

Find the number of 5 letter words that can be formal from word pulse'PULSE' without repetition