List of top Questions asked in BCECE

If \(f(x)=\begin{cases} xe^{-(\frac{1}{|x|}+\frac{1}{x})}; & \text{if } x\ne0 \text{ then} \\ 0\ \ \ \ \ \ \ \ \ \ \ \ \ \ ; & \text{if }x=0\end{cases}\)
which of the following is correct ?
If \(f=\begin{pmatrix} 1 & 2 & 3 & 4 & 5 & 6 \\ 3 & 2 & 4 & 5 & 1 & 6 \end{pmatrix}\in S_6\) then f-1 is
In a group G, the equations ax = b and ya = b have
Which of the following is false ?
If x + y = tan-1 y and y" = f(y)y' then f(y) =
If a and b are positive integers such that (a2 - b2) is a prime number, then
If a ≡ b (mod m) and x is an integer, then which of the following is incorrect ?
The digit in the unit place of 7291 is
If \(\bar{a}⊥\bar{b}\) and \((\bar{a}+\bar{b})⊥(\bar{a}+m\bar{b})\), then m is
If the points (-1, 3, 2), (-4, 3,-2) and (5, 1, m) lie on a straight line then l and m are
The distance of the point A(a, b, c) from the x-axis is
The order and degree of at
\(\left\{1+(\frac{dy}{dx})^2\right\}^{\frac{1}{2}}=(\frac{d^2y}{dx^2})^2\) is
Let A, B, C, D be the points with position vectors \(3\hat{i}-2\hat{j}-\hat{k},2\hat{i}+3\hat{j}-4\hat{k},-\hat{i}+2\hat{j}+2\hat{k}\) and \(4\hat{i}+5\hat{j}+\lambda\hat{k}\) respectively. If the points A, B, C, D lie on a plane, then the value of λ is
Let \(\vec{a}, \vec{b}, \vec{c}\) be three vectors having magnitudes 1, 1 and 2 respectively. If \(\vec{a}\times(\vec{a}\times\vec{c})+\vec{b}=\vec{0}\), then the angle between \(\vec{a}\) and \(\vec{c}\) is
If a1, a2,….an are in G.P. then
\(\begin{vmatrix} \log a_n & \log a_{n+1} & \log a_{n+2} \\ \log a_{n+3} & \log a_{n+4} & \log a_{n+5} \\ \log a_{n+6} & \log a_{n+7} & \log a_{n+8} \end{vmatrix}\) is
The area of region bounded by the lines y = mx, x = 1 and x = 2 and the x-axis is 7.5 sq. units, then m is
The characteristic equation of a matrix A is λ3 - 5λ2 - 3λ + 2I = 0 then |adj A| =
The inverse of the matrix \(\begin{bmatrix} 2 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 4 \end{bmatrix}\) is
If A is 3 × 4 matrix and B is a matrix such that A'B and B'A are both defined, then the order of B is
If the matrix \(\begin{bmatrix} 2 & 3 \\ 5 & -1 \end{bmatrix}\)= A + B, where A is symmetric and B is skew-symmetric then B =
Inverse of a diagonal non-singular matrix is
A tank is filled with water. There is a hole in . the bottom. At the bottom total pressure is $3\, atm$, then, the velocity of water flowing from h $ \left( \text{1atm }=\text{1}{{0}^{5}}\text{ N}/{{\text{m}}^{\text{2}}} \right) $ ,then, the velocity of water flowing from hole is
The acceleration of any electron due to the magnetic field is
A coil of resistance R and inductance L is connected to a battery of emf E volt. The final current in the coil is
Carrot is a