List of top Mathematics Questions

The integrating factor of the differential equation \(x\frac{dy}{dx}-y=2x^{2}\) is

Find the areas of the squares whose sides are : (a) 10 cm (b) 14 cm (c) 5 m.
Find the areas of the rectangles whose sides are : (a) 3 cm and 4 cm (b) 12 m and 21 m (c) 2 km and 3 km (d) 2 m and 70 cm

Find the values of \(\cos^{-1}(\cos\frac{7\pi}{6})\) is equal to

Find $x$ from the equation $cosec\left(90^{\circ}+\theta\right)+x\,cos\theta\,cot\left(90^{\circ}+\theta\right)=sin\left(90^{\circ}+\theta\right)$.
If $ {{a}_{1}},{{a}_{2}},.....,{{a}_{n}} $ are in AP with common difference $ d\ne 0, $ then $ (\sin d) $ $ [\sec {{a}_{1}}\sec {{a}_{2}}+ $ $ \sec {{a}_{2}}\sec {{a}_{3}}+...+\sec {{a}_{n-1}}\sec {{a}_{n}}] $ is equal to
$\displaystyle \int^{\sqrt{\pi}/2}_0$ $2x^{3} sin\left(x^{2}\right) dx =$dx is equal to
If the sum to first $n$ terms of the $A.P. 2,4,6,...$ is $240$, then the value of $n$ is
$\int\frac{3 ^{x}}{\sqrt{1-9 ^{x}}}dx\quad$is equal to
Let $A$ and $B$ be two events such that $P\left(A\cup B\right)=P\left(A\right)+P\left(B\right)-P\left(A\right)P\left(B\right).$ If $0 < P\left(A\right)< 1$ and $0 < P\left(B\right)< 1$ , then $P\left(A\cup B\right)^{'}=$
If one root of the equation $ l{{x}^{2}}+mx+n=0 $ is $ \frac{9}{2} $ $ (l,m $ and n are positive integers) and $ \frac{m}{4n}=\frac{l}{m}, $ then $ \frac{1}{x}+\frac{1}{y} $ is equal to
The coefficient of $x^5$ in the expansion of $(1 + x^2)^5(1 + x)^4$ is
The solution set of $\frac{x+3}{x-2} \le\,2$ is
Which one of the following is not a statement?
The perimeter of a regular pentagon is 100 cm. How long is its each side?

Which of the following functions are strictly decreasing on (0,π/2)?

Write the fractions. Are all these fractions equivalent?
fractions.
Show that the function given by \(f(x) = 3x + 17\) is strictly increasing on \(R\)

If A=\(\begin{bmatrix}3&1\\-1&2\end{bmatrix}\),show that A2-5A+7I=0.Hence find A-1.

The number of bijective function from a set A to itself when A contains 106 elements is
A cylindrical tank of radius 10m is being filled with wheat at the rate of 314cubic mere per hour.Then the depth of the wheat is increasing at the rate of
Find the area of the circle 4x2+4y2=9 which is interior to the parabola x2=4y

In the matrix  A= \(\begin{bmatrix}   2 & 5 & 19&-7 \\   35 & -2 & \frac{5}{2}&12 \\   \sqrt3 & 1 & -5&17  \end{bmatrix}\),write:

 I. The order of the matrix 
 II. The number of elements
 III. Write the elements a13, a21, a33, a24, a23

Find the value of \(\tan\frac{1}{2}\bigg[\sin^{-1}\frac{2x}{1+x^2}+\cos^{-1}\frac{1-y^2}{1+y^2}\bigg],\mid x\mid<1,y>0\,and\:xy<1\)

I buy a T.V. for Rs 10,000 and sell it at a profit of 20%. How much money do I get for it?