List of top Questions asked in SRMJEEE

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

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

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

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

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

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

If A is a non-singular matrix such that AA^T = A^TA and B = A^-1A^T , then matrix B 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 \(i=\sqrt{-1}\), then \(4+5(\frac{-1}{2}+\frac{i\sqrt3}{2})^{334}+3(\frac{-1}{2}+\frac{i\sqrt3}{2})^{265}\) is equal to

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

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

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

The inverse of the function \(f(x) = \frac{e^x - e^{-x}}{e^x + e^{-x}}+2\) is given by

If two sides of a triangle are the roots of the equation \(4x^2 - (2\sqrt{6})x + 1 = 0\) and the included angle is 60⁰ , then the third side is

Which of the following statements about addition polymers is correct?

Which among the following cannot react with nitrous acid?

The values of is

Each unit of DNA has

Which product is formed, when acetonitrile is hydrolysed partially with cold concentrated HCl

In the Williamsons synthesis for preparation of the compounds used are

Hydrolysis of diazonium salt produces

0.207 gram of organic compound gave 0.282 gram of silver bromide when heated with excess of nitric acid and silver nitrate. The percentage of bromine in the organic compound is

Carbocation intermediate is involved in reactions,

The mechanism involved in the preparation of glycol from 1,2-dihaloethane using aqueous Na₂CO₃ is