ANS:B - simultaneous non-linear equation.

A simultaneous non-linear equation is a system of equations where each equation is non-linear and involves multiple variables. In other words, it's a set of equations where the variables are related to each other in a non-linear fashion, and solving the system requires finding values for all variables that satisfy all equations simultaneously. Here's an example of a system of simultaneous non-linear equations: x^2 + y^2 = 25 \\ xy = 12 \end{cases} \] This system consists of two equations, both of which involve non-linear terms (e.g., \(x^2\), \(y^2\), and \(xy\)). The goal is to find values of \(x\) and \(y\) that satisfy both equations simultaneously. Solving simultaneous non-linear equations can be challenging, especially when there are multiple equations and variables involved. Analytical methods for solving such systems may not always be feasible, and numerical techniques like iterative methods or optimization algorithms are often employed to approximate solutions. Overall, simultaneous non-linear equations arise in various fields of science and engineering, and solving them accurately is essential for understanding complex systems and making predictions about their behavior.