Last Updated on August 26, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 9 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 9 maths. In this article, you will find case study questions for CBSE Class 9 Maths Chapter 4 Linear Equations in Two Variables. It is a part of Case Study Questions for CBSE Class 9 Maths Series.

Chapter | Linear Equations in Two Variables |

Type of Questions | Case Study Questions |

Nature of Questions | Competency Based Questions |

Board | CBSE |

Class | 9 |

Subject | Maths |

Useful for | Class 9 Studying Students |

Answers provided | Yes |

Difficulty level | Mentioned |

Important Link | Class 9 Maths Chapterwise Case Study |

### Case Study Questions on Linear Equations in Two Variables

**Questions**

Gupta’s family wanted to purchase a house near national highway 54. One day, they went to the property dealer and saw the different maps of houses there. One of the map is shown below.

On the basis of the above information, solve the following questions:

Q. 1. Find the area of one kitchen and one bedroom.

Q. 2. Write the linear equation in two variables formed by the given layout.

Q. 3. Find the number of solutions exist in the equation *x + y =22*.

**Solutions**

1. From figure, length of kitchen = x m and width of kitchen = 6 m

Area of kitchen = length x width = *6x* m^{2}

From figure, length of bedroom = y m and width of bedroom = 6 m

Area of one bedroom = length x width = *6y* m^{2}

Hence, area of kitchen is *6x* m^{2} and area of one bedroom is *6y* m^{2}

2. From given layout,

x + 3+ y = 25

x + y = 22

3. There are infinitely many solutions exist in the equation *x + y = 22*.

### Understanding Linear Equations in Two Variables

**Linear Equation:**An algebraic equation in which the highest degree term is of first degree and whose graph is a straight line.**Linear Equation in One Variable:**An equation of the form*ax + b = 0*, where a and b are real numbers such that aâ‰ 0 and x is a variable.**Linear Equation in Two Variables:**An equation of the form*ax + by + c = 0*, where a, b and c are real numbers such that a and b are not both zero.

### Also check

- Heron’s Formula Class 9 Case Study Questions Maths Chapter 10
- Circles Class 9 Case Study Questions Maths Chapter 9
- Quadrilaterals Class 9 Case Study Questions Maths Chapter 8
- Triangles Class 9 Case Study Questions Maths Chapter 7
- Lines and Angles Class 9 Case Study Questions Maths Chapter 6
- Introduction to Euclidâ€™s Geometry Class 9 Case Study Questions Maths Chapter 5
- Linear Equations in Two Variables Class 9 Case Study Questions Maths Chapter 4
- Coordinate Geometry Class 9 Case Study Questions Maths Chapter 3
- PolynomialsÂ Class 9 Case Study Questions Maths Chapter 2
- Number SystemsÂ Class 9 Case Study Questions Maths Chapter 1

### Topics from which case study questions may be asked

- Linear Equation in Two Variables
- Solutions of Linear Equations

A linear equation in two variables has infinitely many solutions.

Case study questions from the above given topic may be asked.

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### Frequently Asked Questions (FAQs) on Linear Equations in Two Variables Case Study

#### Q1: What is a linear equation in two variables?

A1: An equation of the form *ax + by + c = 0*, where a, bÂ and cÂ are real numbers such that aÂ and bÂ are not both zero.

#### Q2: How can a linear equation in two variables be represented graphically?

A2: A linear equation in two variables can be represented graphically by plotting its solutions as points on a Cartesian plane and then joining these points to form a straight line.

#### Q3: **What does the solution of a linear equation in two variables represent?**

A3: The solution of a linear equation in two variables represents the coordinates (x, y) of any point that lies on the line represented by the equation. Every point on the line satisfies the equation.

#### Q4: **How can we find the solution of a linear equation in two variables?**

A4: To find the solution of a linear equation in two variables, choose a value for one variable (either x or y) and substitute it into the equation to solve for the other variable. This will give you a pair of values (x, y) that satisfies the equation.

#### Q5: How do you plot a point on the coordinate plane?

A5: To plot a point, first move along the x-axis to the x-coordinate, then move parallel to the y-axis to the y-coordinate. Mark the intersection of these positions on the plane.

#### Q6: **What is the significance of the origin in Coordinate Geometry?**

A6: The origin (0, 0) is the central point where the x-axis and y-axis intersect. It serves as the reference point for locating all other points on the plane.

#### Q7: **Are there any online resources or tools available for practicing Linear Equations in Two Variables case study questions?**

A8: We provide case study questions for CBSE Class 9 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.