List of top Engineering Mathematics Questions asked in CUET (PG)

Value of \(\int_c\frac{z+4}{z^2+2z+5}dz\) if C is the circle\(|z+1|=1\), is:

The value of \(∫_0^{\frac{π}{2}}∫_0^{соs \theta} r\text{ }sin\theta\text{ }dr\text{ }d\theta\) is

Which of the following are correct for X, Y as random variable
A. $H(X)>H(X/Y) $
B. $H(X+Y) ≤H(X)+H(Y) $
C. If X and Y are independent $H(X/Y) = H(YIX) $
D. Mutual information $(X, Y)=H(X/Y)-H(Y/X) $
E. If X and Y are independent $|(X;Y)=0 $
Choose the correct answer from the options given below.

The Radius of convergence of the power series \(f(z) = \sum ^{\infty }_{n=0} \frac{z^n}{ 2^n +3}\)

If the complete solution of the ordinary differential equation
\(\frac{d^2y}{dx^2}+a\frac{dy}{dx}+\beta y=0\;is\;y=c_1e^{-x}+c_2e^{-3x},\)
Then the values of \(\propto\) and B are:

For the function f(x,y)=x²-y²+xy defined on R² the point (0,0) is:

The solution of x partial differential equation
\(\frac{\partial u}{\partial x}=2\frac{\partial u}{\partial t}+U\)
\(U(x,0)=6e^{-3x}\)

The eigenvectors of the matrix are:
\(A=\left(\begin{matrix} i & 1 \\   2 & -i  \end{matrix}\right)\)