That is not true, but I think you mean 2(b-1).2a = 2b-1 => a = b-1
A tangent line is a line that touches a curve at only one point, without crossing over or intersecting it. In other words, it is a line that is "just touching" the curve at a specific point, and has the same slope as the curve at that point.
A tangent line to a function is defined as a line that touches the function at a specific point, and has the same slope as the function at that point. This can be visualized as a line that "hugs" the curve at a specific point.
A tangent line to both functions is significant because it represents the point of intersection between the two functions. This point is where the two functions have the same value, and the tangent line to both functions helps us visualize this point and the relationship between the two functions.
A tangent line to both functions can be calculated by finding the point of intersection between the two functions and then finding the slope of each function at that point. The tangent line will have the same slope as both functions at that point.
Tangent lines to both functions can be used in various fields such as physics, engineering, and economics. For example, in physics, they can be used to determine the velocity and acceleration of a moving object at a specific point in time. In economics, they can be used to find the optimal point of production for a company by analyzing the marginal cost and revenue curves.