List of top Questions asked in SRMJEEE

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

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

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

\(\int \sec xdx\) 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

The eccentricity of a circle e is

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

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

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

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

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

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

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 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) =

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

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

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