(C) linear equation in two variables $x$ and $y$ is an equation that can be written in the form $ax + by + c = 0$,where $a$,$b$,and $c$ are real numbe

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(C) linear equation in two variables $x$ and $y$ is an equation that can be written in the form $ax + by + c = 0$,where $a$,$b$,and $c$ are real numbers and $a$ and $b$ are not both zero.This condition is mathematically expressed as $a^{2} + b^{2} \neq 0$,which ensures that at least one of the coefficients of the variables is non-zero.Therefore,the correct general form is $ax + by + c = 0$.

Class 10 Mathematics Pair of Linear Equations in Two Variables Mix Examples - Pair of Linear Equations in Two Variables

Easy

The general form of a linear equation in two variables is .......... (where,$a^{2}+b^{2} \neq 0$).

A
$ax^{2}+bx+c=0$
B
$ax^{2}+by+c=0$
C
$ax+by+c=0$
D
$ax+b=0$

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Pair of Linear Equations in Two Variables

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Mix Examples - Pair of Linear Equations in Two Variables

$x$ is larger in two numbers $x$ and $y$. Two times the larger number is $4$ more than five times the smaller number. The equation form of this data is $\ldots \ldots \ldots \ldots$

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If $(x, -1)$ is the solution of the linear equation of two variables $3x - y = 7$,then $x = \ldots$

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Two straight paths are represented by the equations $x-3y=2$ and $-2x+6y=5$. Check whether the paths cross each other or not.

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If $\frac{x}{2} = \frac{6}{y} = 3$,then $x + y = \ldots$

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For a pair of equations,if $a_{1} b_{2}-a_{2} b_{1}=0, b_{1} c_{2}-b_{2} c_{1}=0$ and $c_{1} a_{2}-c_{2} a_{1}=0$,then the solution set of the pair of equations is ...........

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The general form of a linear equation in two variables is .......... (where,$a^{2}+b^{2} \neq 0$).

Similar Questions

$x$ is larger in two numbers $x$ and $y$. Two times the larger number is $4$ more than five times the smaller number. The equation form of this data is $\ldots \ldots \ldots \ldots$

If $(x, -1)$ is the solution of the linear equation of two variables $3x - y = 7$,then $x = \ldots$

Two straight paths are represented by the equations $x-3y=2$ and $-2x+6y=5$. Check whether the paths cross each other or not.

If $\frac{x}{2} = \frac{6}{y} = 3$,then $x + y = \ldots$

For a pair of equations,if $a_{1} b_{2}-a_{2} b_{1}=0, b_{1} c_{2}-b_{2} c_{1}=0$ and $c_{1} a_{2}-c_{2} a_{1}=0$,then the solution set of the pair of equations is ...........

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