Class 10MathematicsPair of Linear Equations in Two VariablesTextbook - Pair of Linear Equations in Two Variables
EasyOn comparing the ratios $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}}$ and $\frac{c_{1}}{c_{2}},$ find out whether the lines representing the following pairs of linear equations intersect at a point,are parallel,or are coincident:
$5x - 4y + 8 = 0$
$7x + 6y - 9 = 0$
$5x - 4y + 8 = 0$
$7x + 6y - 9 = 0$
- AIntersect at a point
- BParallel
- CCoincident
- DNone of these
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Similar Questions
The cost of $2\, kg$ of apples and $1\, kg$ of grapes on a day was found to be ₹ $160$. After a month,the cost of $4\, kg$ of apples and $2\, kg$ of grapes is ₹ $300$. Represent the situation algebraically and geometrically.
Medium
View SolutionSolve the following pair of equations by reducing them to a pair of linear equations:
$\frac{5}{x-1} + \frac{1}{y-2} = 2$
$\frac{6}{x-1} - \frac{3}{y-2} = 1$
$\frac{5}{x-1} + \frac{1}{y-2} = 2$
$\frac{6}{x-1} - \frac{3}{y-2} = 1$
Difficult
View SolutionForm the pair of linear equations for the following problem,and find their solutions (if they exist) by the elimination method:
If we add $1$ to the numerator and subtract $1$ from the denominator,a fraction reduces to $1$. It becomes $\frac{1}{2}$ if we only add $1$ to the denominator. What is the fraction?
If we add $1$ to the numerator and subtract $1$ from the denominator,a fraction reduces to $1$. It becomes $\frac{1}{2}$ if we only add $1$ to the denominator. What is the fraction?
Difficult
View SolutionSolve the following pair of linear equations:
$152x - 378y = -74$
$-378x + 152y = -604$
$152x - 378y = -74$
$-378x + 152y = -604$
Difficult
View SolutionThe sum of a two-digit number and the number obtained by reversing the digits is $66$. If the digits of the number differ by $2$,find the number. How many such numbers are there?
Difficult
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