Question

Choose the correct combination of the following: (a) At break-away point the root locus breaks from real axis into complex plane
(b) At break-away point the root locus breaks from imaginary axis into complex plane
(c) At break-in point the root locus enters the real axis from the complex plane
(d) At break-in point the root locus enters the imaginary axis from the complex plane

• A. (a), (b), and (c) are true
• B. (b) and (c) are true
• C. (b) and (d) are true
• D. (a) and (d) are true

Hint:

Break-away: real axis → complex plane; Break-in: complex plane → real axis.

Answer 1

The Correct Option is B

In root locus theory:
- A break-away point is where multiple roots on the real axis split and enter into complex conjugate pairs.
- A break-in point is where complex conjugate roots re-enter the real axis.
Hence, options (b) and (c) are correct.