The graph of line x – y = 0 passes through:
This set of NCERT solutions provides a comprehensive guide to solving MCQ-based questions and short answer exercises from Class 9 Mathematics, specifically focused on Chapter 4: Linear Equations in Two Variables. The chapter covers essential concepts such as understanding linear equations, graphical representation and methods to solve them. The solutions include step-by-step explanations to help students grasp the techniques for solving linear equations like substitution, elimination and graphical methods. These solutions aim to enhance problem-solving skills, providing a solid foundation for students to excel in exams and improve their understanding of the subject.
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To determine the point through which the graph of the line x−y=0 passes, we can solve for y in terms of x or substitute the given options into the equation.
Step 1: Rewrite the equation
The equation is: x−y=0
This simplifies to: x=y
Step 2: Check the options by substituting the coordinates into the equation x=y.
Option (a): (2, 3) Substitute x=2 and y=3 into the equation: 2 = 3
This is false. So, (a) is incorrect.
Option (b): (3, 4)
Substitute x = 3 and y = 4 into the equation: 3 = 4
This is false. So, (b) is incorrect.
Option (c): (5, 6)
Substitute x = 5y and y = 6 into the equation: 5 = 6
This is false. So, (c) is incorrect.
Option (d): (0, 0)
Substitute x = 0 and y = 0 into the equation: 0 = 0
This is true. So (d) is correct.
Conclusion:
The graph of the line x−y=0x – y = 0x−y=0 passes through (0, 0), so the correct answer is (d) (0, 0).
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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