The point of the form (a, -a) always lies on:
Mastering Linear Equations in Two Variables becomes easier with this NCERT solution guide for Class 9th Mathematics. Focused on Chapter 4, the resource provides comprehensive solutions for MCQ-based questions and short answer exercises. It covers essential topics such as solving linear equations using methods like substitution, elimination and graphical representation. Each solution is broken down into simple, step-by-step explanations, helping students enhance their understanding and problem-solving skills. This guide is an excellent tool for building confidence and achieving better performance in exams while reinforcing key mathematical concepts related to linear equations.
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The point of the form (a,−a) represents a point where the x-coordinate is aaa and the y-coordinate is −a.
Step 1: Let’s check each option:
Option (a): x=a
For the point (a,−a) the x-coordinate is a. So, x=a is true. However, the equation x=a does not necessarily describe the relationship between x and y because the y-coordinate −a, not a. Therefore, (a) is incorrect.
Option (b): y=−a
The point (a, -a) has a y-coordinate of -a. This satisfies y = -a, but it doesn’t describe the relation between x and y in general, because it does not account for both coordinates. (b) is incorrect.
Option (c): y = x
For the point (a, -a), the y – coordinate is -a, not a. Therefore, y = x does not hold true for the point. (c) is incorrect.
Option(d): x + y = 0
For the point (a, -a), if we add the coordinates, we get: x + y = a + (-a) = 0
This is true! The point (a, -a) always satisfies the equation x + y = 0.
Conclusion:
The correct answer is (d) x+y=0x + y = 0x+y=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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