Question

Match the inferences $X,Y$ and $Z$ about a system, to the corresponding properties of the elements of fiirst column in Routh's Table of the system characteristic equation.
List- I
X.The system is stable..
Y. The system is unstable..
Z. The test breaks down..
List II
P. when all elements are positive
Q. when any one elements is zero
R. when there is a change in sign of coefficients

• A. $X-P;Y-Q;Z-R$
• B. $X-Q;Y-P;Z-R$
• C. $X-R;Y-Q;Z-P$
• D. $X-P;Y-R;Z-Q$

Answer 1

The correct option is D $X-P;Y-R;Z-Q$

When all elements are positive, the system is stable. When any elements is zero, the test breaks down. When there is change in sign of coefficients, the system is unstable.