what is coincident line? Related: Ex 3.2 NCERT Solutions - Pair of Linear Equations in Two Variables?

Question

what is coincident line? Related:  Ex 3.2 NCERT Solutions - Pair of Linear Equations in Two Variables?

Answer

Two lines that lie exactly on top of each other are called coincident lines .

Answer

✯  𝓒𝓸𝓲𝓷𝓬𝓲𝓭𝓮𝓷𝓽. 𝓣𝔀𝓸 𝓵𝓲𝓷𝓮𝓼 𝓸𝓻 𝓼𝓱𝓪𝓹𝓮𝓼 𝓽𝓱𝓪𝓽 𝓵𝓲𝓮 𝓮𝔁𝓪𝓬𝓽𝓵𝔂 𝓸𝓷 𝓽𝓸𝓹 𝓸𝓯 𝓮𝓪𝓬𝓱 𝓸𝓽𝓱𝓮𝓻. 𝓔𝔁𝓪𝓶𝓹𝓵𝓮: 𝓽𝓱𝓮𝓼𝓮 𝓽𝔀𝓸 𝓵𝓲𝓷𝓮𝓼 𝓪𝓻𝓮 𝓬𝓸𝓲𝓷𝓬𝓲𝓭𝓮𝓷𝓽, 𝓸𝓷𝓵𝔂 𝔂𝓸𝓾 𝓬𝓪𝓷'𝓽 𝓼𝓮𝓮 𝓽𝓱𝓮𝓶 𝓫𝓸𝓽𝓱, 𝓫𝓮𝓬𝓪𝓾𝓼𝓮 𝓽𝓱𝓮𝔂 𝓪𝓻𝓮 𝓸𝓷 𝓽𝓸𝓹 𝓸𝓯 𝓮𝓪𝓬𝓱 𝓸𝓽𝓱𝓮𝓻! ✯

Answer

Definition of Coincident Line:
Coincident lines are two or more lines that lie on top of each other, meaning they have the same slope and y-intercept. In other words, coincident lines are identical and have an infinite number of solutions.

Explanation in the Context of Ex 3.2 NCERT Solutions:
In Exercise 3.2 of NCERT Solutions for Class 10, Pair of Linear Equations in Two Variables, you may encounter problems where two equations represent lines that are coincident. These problems typically involve solving a system of linear equations to find the values of variables that satisfy both equations simultaneously.

How to Identify Coincident Lines:
- Coincident lines have the same slope and y-intercept.
- When graphed, coincident lines overlap each other perfectly.
- The system of equations representing coincident lines will have infinitely many solutions.

Steps to Solve Coincident Line Problems:
1. Write down the given pair of linear equations.
2. Determine if the lines are coincident by checking if they have the same slope and y-intercept.
3. If the lines are coincident, express the equations in the form of a single equation.
4. Solve the single equation to find the values of variables.
5. Verify the solutions by substituting them back into the original equations.

Importance of Understanding Coincident Lines:
Understanding coincident lines is crucial in solving systems of linear equations, as it helps in identifying situations where the equations have infinite solutions. This knowledge is essential for various real-world applications, including optimization problems, cost analysis, and more.
By mastering the concept of coincident lines, you can strengthen your problem-solving skills and excel in mathematics.

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