A linear equation in two variables has
Understanding Linear Equations in Two Variables is crucial for building a strong foundation in algebra. This NCERT solution guide for Class 9th Mathematics, Chapter 4, provides well-structured answers to MCQ-based and short-answer questions. It covers important methods such as substitution, elimination and graphical representation, ensuring a clear understanding of solving linear equations. With step-by-step explanations, students can develop their problem-solving skills and gain confidence in tackling exam questions. This resource serves as an excellent tool for reinforcing concepts and enhancing overall mathematical proficiency.
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A linear equation in two variables has infinitely many solutions, provided that the equation represents a line in a two-dimensional plane.
A linear equation in two variables typically has the form: ax + by = c
where a, b, and c are constants. This equation represents a straight line on a coordinate plane, and every point on this line is a solution to the equation.
Infinitely many solutions: Since a straight line has infinitely many points, the equation has infinitely many solutions, as each point on the line represents a valid pair of values for x and y.
Conclusion:
The correct answer is (d) infinitely many solutions.
This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
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