Class 10MathematicsPair of Linear Equations in Two VariablesMix Examples - Pair of Linear Equations in Two Variables
EasyIn the pair of equations $a_{1}x + b_{1}y + c_{1} = 0$ and $a_{2}x + b_{2}y + c_{2} = 0$,if ............ then it has a unique solution.
- A$a_{1}b_{2} \neq a_{2}b_{1}$
- B$a_{1}b_{2} = b_{1}a_{2}$
- C$b_{1}c_{2} = c_{1}b_{2}$
- D$c_{1}a_{2} = a_{1}c_{2}$
Explore More
Similar Questions
The sum of the digits of a two-digit number is $6$. If the digit at the unit's place is twice the digit at the ten's place,then that number is..........
Medium
View SolutionIn a rectangle,the length is $3$ less than twice its width. The perimeter of the rectangle is $100$. Represent this situation as a pair of linear equations in two variables.
Medium
View SolutionThe sum of the digits of a two-digit number is $9$. If $27$ is added to it,the digits of the number get reversed. The number is
Medium
View SolutionSolve the following pair of linear equations by the method of substitution: $5x - 3y = 1$ and $2x + 5y = 19$.
Medium
View SolutionSolve the following pair of equations: $(a \neq 0, b \neq 0)$
$\frac{2}{a} + \frac{3}{b} = 1$
$\frac{1}{a} + \frac{1}{b} = 1$
$\frac{2}{a} + \frac{3}{b} = 1$
$\frac{1}{a} + \frac{1}{b} = 1$
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo