List of top Mathematics Questions

The centre and radius of the sphere \(|2\vec{r}=(J\vec{i}-\vec{j}+4\vec{k})|=4\) are __________

In a G.P if the (m+n)^th term is p and (m-n)^th term is q then its m^th term is

The coefficient of skewnes of a distribution is 0.32. If its standard deviation is 6.5 and mean is 29.6, then the mode of the distribution is given by

The equation of the second degree x²+2√2xy+2y²+4x+4√2y+1=0 represents a pair of straight lines, the distance between them is

ABCD is a square A = (1,2), B = (3,-4). If line CD passes through (3,8) then midpoint of CD is

The line 4x+6y+9=0 touches y²=4x at the point

The circles x² + y² - 4x - 6y - 12 = 0 and x² + y² + 6x - 8y + 21 = 0

The eccentricity of a circle e is

\(\displaystyle\int\frac{dx}{cosx-sinx}\) is equal to

\(\int \sec xdx\) is

The value of the integral \(\int\limits^6_3\frac{\sqrt{x}}{\sqrt{9-x}+\sqrt x}dx\) is

A missile fired from ground level rises x metres vertically upwards in 't' seconds and x = t( 100-12.5t). Then the maximum height reached by the missile is

How many positive integers n can be formed using the digits 3,4,4,5,5,6,7, if n has to exceed 50,00,000?

If \((\displaystyle\int_0^axdx)\le(a+4)\), then

\(\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+...+\frac{1}{(3n-1)(3n+2)}\) is equal to

\(lt_{x\rightarrow\infin}(\frac{x^2+5x+3}{x^2+x+3})^{\frac{1}{3}}\) is

Find \(Lt_{x\rightarrow\infin}(\frac{x}{2+x})^{2x}\)

Let \(f:R\rightarrow R\) be defined by \(f(x) = \begin{cases} k-2x,x\le-1\\ 2x+3,x\gt-1   \end{cases}\). If f(x) has a local minimum at x=- 1, then a possible value of k is

If A+B=\(\begin{pmatrix} 2&-4 \\4&0 \end{pmatrix}\) and 3B=\(\begin{pmatrix}  -9&6 \\3&12 \end{pmatrix}\) then A+4B is

If \(f(x) = \begin{cases}  1 + x & \text{if } 0 \leq x \leq 2 \\ 3 - x & \text{if } 2 < x \leq 3  \end{cases}\) , then \(f[f(x)]\) is

If A is a non-singular matrix such that AA^T = A^TA and B = A^-1A^T , then matrix B is

If I is the unit matrix of order n, where K≠0 is a constant, then adj(KI) =

If \(\Delta_1=\begin{vmatrix} x&b&b \\a&x&b\\a&a&x\end{vmatrix}\) and \(\Delta_2=\begin{vmatrix} x&b \\a&x\end{vmatrix}\), then \(\frac{d}{dx}(\Delta_1)\) is equal to

Number of integral values of x satisfying x² - 4x - 21 > 0 and x² - 9x + 8 < 0 is

If \(i=\sqrt{-1}\), then \(4+5(\frac{-1}{2}+\frac{i\sqrt3}{2})^{334}+3(\frac{-1}{2}+\frac{i\sqrt3}{2})^{265}\) is equal to