RRB NTPC/ASM/CA/TA Exam > RRB NTPC/ASM/CA/TA Videos > Mathematics for RRB NTPC / ASM > Linear Equations in Two Variables
Linear Equations in Two Variables Video Lecture | Mathematics for RRB NTPC / ASM - RRB NTPC/ASM/CA/TA
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146 videos|96 docs|98 tests
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FAQs on Linear Equations in Two Variables Video Lecture - Mathematics for RRB NTPC / ASM - RRB NTPC/ASM/CA/TA
| 1. What are linear equations in two variables? |  |
Ans. Linear equations in two variables are mathematical expressions that represent a straight line when plotted on a graph. They are typically written in the form \( ax + by + c = 0 \), where \( x \) and \( y \) are the variables, and \( a \), \( b \), and \( c \) are constants. The solutions to these equations are the ordered pairs \((x, y)\) that satisfy the equation.
| 2. How do I solve a linear equation in two variables? | |
Ans. To solve a linear equation in two variables, you can use methods such as substitution or elimination. In substitution, you solve one equation for one variable and then substitute that expression into the other equation. In elimination, you manipulate the equations to eliminate one variable, allowing you to solve for the other variable.
| 3. What is the graphical representation of linear equations in two variables? | |
Ans. The graphical representation of linear equations in two variables is a straight line on a Cartesian plane. Each point on the line corresponds to a solution of the equation. The slope of the line indicates the rate of change between the two variables, while the y-intercept shows where the line crosses the y-axis.
| 4. Can a linear equation in two variables have no solution? | |
Ans. Yes, a linear equation in two variables can have no solution. This occurs when the two lines represented by the equations are parallel and never intersect. In this case, the system of equations is called inconsistent.
| 5. What role do linear equations in two variables play in RRB NTPC exams? | |
Ans. Linear equations in two variables are an important topic in RRB NTPC exams as they test candidates' understanding of basic algebra and their ability to interpret and manipulate equations. Questions may involve solving equations, graphing lines, or analyzing systems of equations, which are essential skills for various positions like ASM, CA, and TA.
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Nov 24, 2024 Last updated |
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