# What does it mean when two lines are coincident?

Table of Contents

## What does it mean when two lines are coincident?

There are oblique lines, lines that cross that are not parallel or perpendicular, and there are coincident lines. Coincident lines are lines that lie exactly on top of each other.

## When two lines are coincident then the solution are?

Answer: If two lines are coincident then, they have infinite solution and pair of linear equations is consistent; If two lines are intersecting then, they have unique solution and pair of linear equations is consistent.

**When the two equations are plotted on the graph the two lines are coincident?**

When two lines are coinciding with each other, then there is no intercept difference between them. For example, consider the equation of two coinciding lines, x + y = 4 and 2x + 2y = 8 are two coinciding lines.

**How do you know if two lines are coincident?**

If each line in the system has the same slope and the same y-intercept, the lines are coincident.

### What are coincident lines in graph?

When two lines are coinciding to each other, then there could be no intercept difference between them. For example, x + y = 2 and 2x + 2y = 4 are coinciding lines. Both the lines are the same. Hence, they coincide.

### What are coincident lines?

Two lines that lie exactly on top of each other or we can say that one line is exactly lying on top of another line are called coincident lines. Equations of two coincident lines are the same when reduced to the simplest form.

**When two lines are coincident then the graphical solution of system of linear equations has?**

Case 1 – If the lines intersect at a point, then the given system has a unique solution given by the coordinates of the point of intersection. Case 2 – If the lines are coincident, then the system is consistent and has infinitely many solutions.

**When two graph lines coincide then the given system has no solution?**

The point where the two lines intersect is the only solution. An inconsistent system has no solution. Notice that the two lines are parallel and will never intersect. A dependent system has infinitely many solutions.

#### When two lines are parallel then the system has?

If the two equations describe lines that intersect once, the system is independent and consistent. If the two equations describe parallel lines, and thus lines that do not intersect, the system is independent and inconsistent.

#### When L1 and l2 are coincident then it has?

L1 and l2 are coincident the system will have infinity many solutions.

**What is the meaning of coincident points?**

In mathematics, a coincidence point (or simply coincidence) of two functions is a point in their common domain having the same image. Formally, given two functions. we say that a point x in X is a coincidence point of f and g if f(x) = g(x).