List of top Questions asked in SRMJEEE

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

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

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

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

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

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

The eccentricity of a circle e is

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

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?

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

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

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

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

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

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

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

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

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

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