The NCERT Solutions for Class 10 Maths Chapter 7 “Coordinate Geometry” provide comprehensive answers to problems based on the concepts of coordinate geometry. This chapter includes multiple exercises and covers essential formulas and techniques crucial for scoring well in CBSE Class 10 exams.
Topics Covered in Class 10 Maths Chapter 7: Coordinate Geometry
| Section Name | Topic Description |
|---|---|
| 7 | Basics of Coordinate Geometry |
| 7.1 | Introduction to Coordinate Geometry |
| 7.2 | Distance Formula |
| 7.3 | Section Formula |
| 7.4 | Area of a Triangle |
| 7.5 | Summary and Key Formulas |
NCERT Solutions for Chapter 7
This chapter emphasizes understanding the concepts and application of coordinate geometry formulas.
Key Questions and Solutions
- Understanding the Cartesian Plane: Solutions guide students through the basics of the coordinate plane.
- Applying Distance Formula: Provides detailed explanations on how to calculate the distance between two points.
- Using the Section Formula: Step-by-step solutions to find the coordinates of a point dividing a line segment in a given ratio.
- Finding the Area of a Triangle: Practical exercises for determining the area using coordinate points.
Objectives of Chapter 7: Coordinate Geometry
The students will be able to:
- Understand the Cartesian coordinate system.
- Apply the distance formula to solve problems.
- Use the section formula to divide a line segment.
- Calculate the area of a triangle given its vertices.
Chapter 7 Class 10 Maths Summary
We have studied the following points:
- Coordinate System: The Cartesian plane consists of the x-axis and y-axis, used to locate points.
- Key Formulas:
- Distance Formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2}
- Section Formula: x=mx2+nx1m+n,y=my2+ny1m+nx = \frac{mx_2 + nx_1}{m+n}, y = \frac{my_2 + ny_1}{m+n}
- Area of a Triangle: A=12∣x1(y2−y3)+x2(y3−y1)+x3(y1−y2)∣A = \frac{1}{2} | x_1(y_2 – y_3) + x_2(y_3 – y_1) + x_3(y_1 – y_2) |
- Applications:
- Finding distances between two points.
- Locating midpoints and section points in geometry.
- Determining areas of geometric shapes using coordinates.
Download NCERT Solutions for Class 10 Maths Chapter 7 PDF
Students can download the PDF for NCERT Solutions of Class 10 Maths Chapter 7 Coordinate Geometry for offline study. These solutions are extremely helpful while doing homework and revising before exams.
ch7-1**NCERT Class 10 Math’s Solutions All Chapter **
- Chapter 1 Real Numbers
- Chapter 2 Polynomials
- Chapter 3 Pair of Linear Equations in Two Variables
- Chapter 4 Quadratic Equations
- Chapter 5 Arithmetic Progressions
- Chapter 6 Triangles
- Chapter 7 Coordinate Geometry
- Chapter 8 Introduction to Trigonometry
- Chapter 9 Applications of Trigonometry
- Chapter 10 Circle
- Chapter 11 Constructions
- Chapter 12 Areas related to Circles
- Chapter 13 Surface Areas and Volumes
- Chapter 14 Statistics
- Chapter 15 Probability
We hope the NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry help you. If you have any queries regarding Maths NCERT Solutions for this chapter, drop a comment below and we will get back to you at the earliest.