When the dimensions of both sides of an equation are equal, the equation is said to be homologous.
Here's a detailed explanation:
1. Simultaneous Equations: These are a set of equations involving the same set of variables. The term indicates that multiple equations are solved together to find common solutions for the variables.
2. Homologous Equations: In physics and mathematics, when we say that the dimensions of both sides of an equation are equal, it implies that the units or the types of quantities on both sides are analogous or compatible with each other. Hence, this condition characterizes homologous equations.
3. Instantaneous Equations: These typically refer to relationships or values at a specific instant. In physics, for example, instantaneous speed or velocity refers to the speed at a specific point in time.
4. Quadratic Equations: These are polynomial equations of the second degree, generally of the form [tex]\( ax^2 + bx + c = 0 \)[/tex], where [tex]\( a \)[/tex], [tex]\( b \)[/tex], and [tex]\( c \)[/tex] are constants.
Given the explanation, the correct answer is:
B) Homologous.
