applestrudle said:b/c real indicates that b and c are pure imaginary
A complex plane locus question involves finding the set of points on a complex plane that satisfy a given condition or equation. It is a type of problem commonly encountered in mathematics and physics.
To solve a complex plane locus question, you can use various methods such as graphing, substitution, and algebraic manipulation. It is important to understand the properties of complex numbers and how they behave on a complex plane.
Some common types of complex plane locus questions include finding the locus of points equidistant from two given points, finding the locus of points satisfying a given equation, and finding the locus of points satisfying a geometric condition such as lying on a circle or a line.
Yes, complex plane locus questions can have real solutions. This happens when the locus of points intersects with the real axis of the complex plane. In this case, the solutions will be real numbers.
Complex plane locus questions are used in various scientific fields such as physics, engineering, and mathematics. They can be used to model and analyze physical systems, solve equations, and make predictions about complex phenomena. They are also used in computer graphics and game development for creating complex visual effects and animations.