Class 10MathematicsPair of Linear Equations in Two VariablesMix Examples - Pair of Linear Equations in Two Variables
MediumTwo lines (coincident) are shown in the following graph. Which option from the following is true for the solution of the pair of linear equations in two variables?
- AThe solution of them is unique.
- BTheir solution set is an infinite set.
- CThey do not have any solution set.
- DThey have two solutions.
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Similar Questions
Solve the following pair of linear equations by the method of elimination:
$4x - 3y = 8$
$6x - y = \frac{29}{3}$
$4x - 3y = 8$
$6x - y = \frac{29}{3}$
Easy
View SolutionIf the sum and the product of the digits of a two-digit number are the same,then the number is $\ldots \ldots \ldots \ldots$
Medium
View SolutionThere are some $25$ paise coins and some $50$ paise coins in a bag. The total number of coins is $100$ and the total amount in the bag is Rs. $42.50$. Find the number of coins of each value in the bag.
Easy
View SolutionWhich of the following groups matches the data of Part $I$ with the data of Part $II$?
Part $I$ Part $II$ $1. x+2y=3, 2x+4y=5$ $a. \text{Solution set is a singleton set.}$ $2. 2x+3y=6, x+\frac{3}{2}y=3$ $b. \text{Solution set is an empty set.}$ $3. 3x-y=0, x-y+6=0$ $c. \text{Solution set is an infinite set.}$ $d. \text{Solution set contains two members.}$
| Part $I$ | Part $II$ |
| $1. x+2y=3, 2x+4y=5$ | $a. \text{Solution set is a singleton set.}$ |
| $2. 2x+3y=6, x+\frac{3}{2}y=3$ | $b. \text{Solution set is an empty set.}$ |
| $3. 3x-y=0, x-y+6=0$ | $c. \text{Solution set is an infinite set.}$ |
| $d. \text{Solution set contains two members.}$ |
Difficult
View SolutionComparing the equation $x=4$ with the standard form $ax+by+c=0$,we get $b=\ldots \ldots \ldots$
Easy
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