Class 9 • Maths • Chapter 4
LINEAR EQUATIONS IN TWO VARIABLES
True & False Quiz
Infinite Solutions. One Line.
✓True
✗False
25
Questions
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Ch.4
Chapter
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IX
Class
Why True & False for LINEAR EQUATIONS IN TWO VARIABLES?
How this format sharpens your conceptual clarity
🔵 Linear equations in two variables introduce the graphical meaning of an equation — laying the groundwork for Class X systems and graphs.
✅ T/F tests properties of solutions, number of solutions, and what constitutes a valid linear equation in two variables.
🎯 A single linear equation in two variables has INFINITELY many solutions — each solution is a point on the line representing that equation.
📋
Read each statement carefully. Click True or False — instant feedback with explanation appears. Submit anytime; unattempted questions are marked Skipped.
Q 1
A linear equation in two variables has infinitely many solutions.
Q 2
The standard form of a linear equation in two variables is \(ax+by+c=0\).
Q 3
The graph of a linear equation in two variables is always a parabola.
Q 4
\(x+y=6\) is a linear equation in two variables.
Q 5
The solution of \(2x=8\) is a pair of values for \(x\) and \(y\).
Q 6
In \(ax+by+c=0\) , \(a\) and \(b\) cannot both be zero.
Q 7
Every solution of a linear equation in two variables represents a unique point on its graph.
Q 8
The equation \(3x^2+4y=7\) is linear.
Q 9
The equation \(0x+5y=10\) has a solution for \(y\).
Q 10
All solutions of a linear equation in two variables lie on a straight line.
Q 11
\(5x+3y=15\) can be satisfied by more than one pair of \(x\) and \( y\) values.
Q 12
The pair (0, -2) is a solution to \(x+2y=-4\).
Q 13
The points (3, 4) and (4, 3) are both solutions to \(x+y=7\).
Q 14
The graph of \(y=2x+1\) passes through the point (0, 1).
Q 15
\(x+y=10\) and \(2x+2y=20\) represent the same line.
Q 16
The equation \(x-y=5\) can be represented graphically by only two points.
Q 17
The coefficients in \(ax+by+c=0\) must be positive.
Q 18
\(x=7x \) is a linear equation in two variables.
Q 19
A linear equation in two variables can be plotted without making a table of values.
Q 20
The solution set of \(x=0\) and \(y=0\) is the same for every linear equation.
Q 21
The equation \(y=mx+c\) represents a straight line for any real values of \(m\) and \(c\).
Q 22
The graph of \(x=2\) is a horizontal line.
Q 23
The equation \(2x+0y=8\) represents a vertical line.
Q 24
The sum of the coordinates of every point on the graph of \(x+y=9\) is 9.
Q 25
The graph of a linear equation in two variables divides the plane into two regions.
Key Takeaways — LINEAR EQUATIONS IN TWO VARIABLES
Core facts for CBSE Boards & exams
1
Standard form: ax + by + c = 0, where a and b are not both zero.
2
A linear equation in two variables has infinitely many solutions.
3
Every solution (x, y) corresponds to a point on the straight line graph of the equation.
4
The graph of ax + by + c = 0 is always a straight line.
5
x = k is a line parallel to the y-axis; y = k is a line parallel to the x-axis.
6
The equation of the x-axis is y = 0; the equation of the y-axis is x = 0.