Share & grow the world's knowledge!
We want to connect the people who have knowledge to the people who need it, to bring together people with different perspectives so they can understand each other better, and to empower everyone to share their knowledge.
A linear equation in two variables has only one solution.
This statement is False. A linear equation in two variables of the form ax + by + c = 0 has infinitely many solutions. Geometrically, its graph is a continuous straight line comprising infinite points. Since every point lying on this line represents a valid ordered pair (x, y) that satisfies the relRead more
This statement is False. A linear equation in two variables of the form ax + by + c = 0 has infinitely many solutions. Geometrically, its graph is a continuous straight line comprising infinite points. Since every point lying on this line represents a valid ordered pair (x, y) that satisfies the relation, an infinite number of solutions exist for any single linear equation.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/
See lessThe graph of a linear equation in two variables always passes through the origin.
This statement is False. A linear equation ax + by + c = 0 passes through the origin (0, 0) if and only if the constant term c is zero. For example, in the linear equation 2x + 3y = 6, substituting x = 0 and y = 0 gives 0 ≠ 6, demonstrating that lines containing non-zero constant terms cannot intersRead more
This statement is False. A linear equation ax + by + c = 0 passes through the origin (0, 0) if and only if the constant term c is zero. For example, in the linear equation 2x + 3y = 6, substituting x = 0 and y = 0 gives 0 ≠ 6, demonstrating that lines containing non-zero constant terms cannot intersect or pass through the origin.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/
See lessA linear equation in two variables can never have rational solutions.
This statement is False. A linear equation in two variables with rational coefficients can have infinitely many rational solutions. Whenever any rational number is chosen for x, solving the equation algebraically yields a corresponding rational value for y. For example, in 2x + y = 3, selecting x =Read more
This statement is False. A linear equation in two variables with rational coefficients can have infinitely many rational solutions. Whenever any rational number is chosen for x, solving the equation algebraically yields a corresponding rational value for y. For example, in 2x + y = 3, selecting x = 1/2 produces y = 2, which forms a perfectly valid rational solution pair.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/
See lessx = 3 is a valid linear equation in two variables.
This statement is True. Any equation that can be rewritten in the standard form ax + by + c = 0, where a and b are not both zero, is a linear equation in two variables. The equation x = 3 can be represented as 1x + 0y − 3 = 0 with a = 1, b = 0 and c = −3, making it entirely valid. For more NCRead more
This statement is True. Any equation that can be rewritten in the standard form ax + by + c = 0, where a and b are not both zero, is a linear equation in two variables. The equation x = 3 can be represented as 1x + 0y − 3 = 0 with a = 1, b = 0 and c = −3, making it entirely valid.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/
See lessThe equation 2x + 3y = 7 has infinitely many solutions.
This statement is True. The equation 2x + 3y = 7 can be expressed as y = (7 − 2x)/3. For any real value assigned to the independent variable x, there exists a corresponding real value for y. Because there are infinitely many real values that x can take, this linear equation in two variables possesseRead more
This statement is True. The equation 2x + 3y = 7 can be expressed as y = (7 − 2x)/3. For any real value assigned to the independent variable x, there exists a corresponding real value for y. Because there are infinitely many real values that x can take, this linear equation in two variables possesses infinitely many solutions lying along its straight-line graph.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/
See less