List of top Electrical Power And Energy Engineering Questions on Algebra asked in CUET (PG)

A NAND circuit with positive logic will operate as :

Arrange the following : For Newton-Raphson Load Flow Algorithm.
• [A.] Power mismatch calculation
• [B.] Initial voltage assumption
• [C.] Jacobian matrix formulation
• [D.] Voltage correction Choose the correct answer from the options given below :

Laplace transform cannot be used :

If \(A\) is a null Matrix, then its rank is :

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : If \(u=x^n f\left(\dfrac{y}{x}\right)\), then \[ x\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}=nu \] Reason (R) : Given function \(u\) is homogeneous of degree \(n\) in \(x\) and \(y\). In the light of the above statements, choose the most appropriate answer from the options given below :

Solving a second order Differential equation using Laplace transform :
A. Partial fraction expansion
B. Apply initial conditions in Laplace domain
C. Take Laplace transform of differential equation
D. Obtain time domain solution Choose the correct answer from the options given below :

Determining Eigenvalues of a matrix :
A. Solve the characteristic equation
B. Form matrix \(A-\lambda I\)
C. Compute determinant
D. Identify eigenvalues Choose the correct answer from the options given below :

If \( A \in R_{n \times n} \) and \( \det A = 0 \), then :
A. \(A\) is non singular and the rows and columns of \(A\) are linearly independent
B. \(A\) is non-singular and the rows and columns of \(A\) are linearly dependent
C. \(A\) is non-singular and \(A\) has one zero row
D. \(A\) is singular
E. \(A\) is singular and rows and columns of \(A\) are linearly dependent Choose the correct answer from the options given below :

The matrix equation \(AX=0\), represents :
A. non-Homogeneous linear equations
B. Homogeneous linear equations
C. Homogeneous non-linear equations
D. non-Homogeneous non-linear equations
E. non-Homogeneous Quadratic Equation Choose the correct answer from the options given below :

The greatest rate of increase of \(f=xy^2z^3\) at the point \((0,-1,-2)\) is :

The derivative of \( y=\int_{0}^{\ln x}\sin(e^t)\,dt \) is :

If \(\lambda=0\), is an eigen value of \(A\), then \(\det(A)\) is :