List of top Mathematics Questions

The probability that a non-leap year will have only 52 Fridays is
The domain of $\cos^{-1} \sqrt{2x}$ is
Five square flower beds each of sides 1 m are dug on a piece of land 5 m long and 4 m wide. What is the area of the remaining part of the land?
Which of the following relation is NOT a function

Prove \(2sin^{-1}\ \frac {3}{5}=tan^{-1}\ \frac {24}{7}\)

If Meena gives an interest of Rs 45 for one year at 9% rate p.a.. What is the sum she has borrowed?

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.