Which of the following is not a linear equation in two variables?
Dive into the concepts of Linear Equations in Two Variables with this NCERT solution guide for Class 9th Mathematics, focusing on Chapter 4. The guide provides clear and detailed solutions to MCQs and short answer questions, helping students understand how to solve linear equations using various methods, including substitution, elimination and graphical techniques. Each solution is explained in a step-by-step manner, ensuring students can easily grasp the concepts and apply them to different problems. This resource is perfect for reinforcing learning, boosting problem-solving abilities and preparing for exams with confidence.
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To determine which of the following is not a linear equation in two variables, let’s analyze each option:
Option (a): ax+by=c
This is a standard form of a linear equation in two variables x and y, where a, b, and c are constants. This is a linear equation. (a) is correct.
Option (b):ax² + by = c
This equation has x², which is a quadratic term, making the equation non-linear. Therefore, this is not a linear equation in two variables. (b) is incorrect.
Option (c): 2x+3y=5
This is a linear equation in two variables x and y because both x and y are raised to the first power. (c) is correct.
Option (d): 3x + 2y = 6
This is also a linear equation in two variables, where both x and y are raised to the first power. (d) is correct.
Conclusion:
The equation that is not a linear equation in two variables is (b)ax² + by = c
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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