List of top Mathematics Questions

Find the 4^th term in the expansion of (-3a - b)⁵

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 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

If a,b,c are in AP, then a³+c³-8b³ is equal to

If the circles x² + y² + 2x + 2ky + 6 = 0, x² + y² + 2ky + k = 0 intersect orthogonally, then k is

A box contains 5 red and 4 white balls. Two balls are drawn successively from the box without replacement and it is noted that the second one is white. Then the probability that the first one is white is

Consider points A,B,C and D with position vectors \(7\vec{i}-4\vec{j}+7\vec{k}, \vec{i}-6\vec{j}+10\vec{k}, -\vec{i}-3\vec{j}+4\vec{k}\) and \(5\vec{i}-\vec{j}+5\vec{k}\) respectively, then ABCD is a

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

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 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

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

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

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

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

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?

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

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

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

The points representing the complex numbers Z for which |Z + 4|² - |Z - 4|² = 8 lie on

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