by Tiwari Academy
NCERT Textbook Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Exercises in Hindi and English Medium revised for CBSE Session 2024-25. NCERT Class 10 Mathematics Book Chapter 7 solution is simplified as per the NCERT Math textbooks published for CBSE 2024-25 Exams. NCERT Class 10 Mathematics Exercise Chapter 7 Coordinate Geometry, plays a pivotal role in understanding spatial relationships through mathematical representation. The NCERT simplified solutions for Class 10 Math Chapter 7 cover essential concepts like the distance formula, section formula and finding the coordinates of a point dividing a line segment in a given ratio.
NCERT Exercises Solution for Class 10 Maths Chapter 7
These solutions, especially the ones in exercise 7.1 and exercise 7.2, simplify complex problems into manageable steps, ensuring clarity for students. For those looking for quick access, Class 10 Maths Chapter 7 NCERT Textbook solutions PDF provides convenient offline learning. The Coordinate Geometry Class 10 solutions PDF format is highly sought after by students preparing for exams. Mastery of Class 10 Math Chapter 7 formulas is critical, as they form the basis for solving real-world problems. With structured question answers, these solutions serve as a comprehensive guide for effective preparation.
Class 10th Maths Chapter 7 Exercise 7.1 Solutions
10th Maths Chapter 7 Exercise 7.2 Solutions
Class 10th Maths Chapter 7 Solutions for State Boards
Benefits of NCERT Solutions for Class 10 Coordinate Geometry
Class 10 Mathematics NCERT Textbook Solutions for Coordinate Geometry offer a step-by-step approach to tackle problems efficiently, catering to students of all learning paces. By practicing Class 10 NCERT Maths Chapter 7 important questions, students can strengthen their understanding of key topics. Maths Exercises like 7.3 and 7.4 delve deeper into advanced problems, fostering analytical thinking. The Coordinate Geometry Class 10th NCERT Book solutions also include detailed explanations for every question, ensuring no doubts remain unresolved.
Downloadable formats like NCERT solutions for Class 10 Math Chapter 7 PDF provide the flexibility to study anytime, anywhere. Whether it’s grasping the derivation of the midpoint formula or solving challenging section formula problems, these solutions are tailored for conceptual clarity. Students frequently use Coordinate Geometry Class 10 Mathematics formulas while solving critical questions, making them indispensable for exam preparation.
Important Points for Class 10 Maths Chapter 7 Coordinate Geometry
Key points in Class 10 Maths Chapter 7 Coordinate Geometry include the distance formula, section formula and area of a triangle formula. Focus on deriving coordinates, dividing line segments and applying these concepts to solve real-life problems. Practice NCERT exercises 7.1 and 7.2 thoroughly for board exam preparation.
| Day | Topic | Activity | Objective |
|---|---|---|---|
| Day 1 | Introduction to Coordinate Geometry | Read NCERT textbook and notes | Understand basic concepts |
| Day 2 | Distance Formula | Practice NCERT Exercise 7.1 | Learn to calculate distances |
| Day 3 | Section Formula | Practice NCERT Exercise 7.2 | Understand division of line segments |
| Day 4 | Area of a Triangle | Practice NCERT Exercise 7.3 | Calculate areas using coordinates |
| Day 5 | Revision and Important Questions | Solve NCERT Exercise 7.4 | Review and strengthen concepts |
| Day 6 | Mock Tests | Attempt sample papers | Evaluate preparation and improve |
| Class: 10 | Maths |
| Chapter 7: | Coordinate Geometry |
| Content: | NCERT Exercises Solutions |
| Mode: | Online Videos and Text Format |
| Academic Session: | Year 2024-25 |
| Medium: | English and Hindi Medium |
Leveraging NCERT Solutions for Academic Excellence
The NCERT Mathematics Solutions for Class 10 Chapter 7 exercise solutions are crafted to align with the CBSE curriculum, ensuring students excel in exams. By working through the Coordinate Geometry Class 10 important questions, students not only practice but also enhance their speed and accuracy. Comprehensive notes for Class 10 Maths Chapter 7 cover formulas, problem-solving techniques, and real-life applications of Coordinate Geometry. These solutions simplify the intricacies of topics like the distance formula, helping students develop a thorough understanding.
The Class 10 Math Book Chapter 7 question answers are particularly beneficial for last-minute revisions, ensuring all critical points are covered. For in-depth practice, students rely on the NCERT Book solutions for Class 10 Mathematics Chapter 7 exercise 7.1 to 7.4, which address varying difficulty levels. By mastering these resources, students build a solid foundation for higher math.
Class 10 Maths chapter 7 Coordinate Geometry Solution
Class 10 Maths Chapter 7 Exercises Solution is useful for UP Board as well as CBSE, MP Board Schools in Hindi Medium and English medium in PDF format to free download. UP Board High School students are now using NCERT Books for school exams. Download UP Board Solutions and NCERT Solutions Apps 2024-25 based on updated NCERT Solutions for the new session 2024-25. There is overall summery about coordinate geometry for class 10, which will help the students to know more about this chapter.
10th Maths Chapter 7 Solutions
NCERT solutions for class 10 Maths chapter 7 Coordinate Geometry exercises from 7.1 and 7.2 are given for exam preparation. All the contents are in updated format for academic session 2024-25. Offline Apps based on these solutions are also for new session. Join the Discussion Forum to discuss your doubts and respond the questions asked by your friends.
10th Maths Chapter 7 Previous Years Questions
ONE MARK QUESTIONS
1. If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible values of k? [CBSE 2017]
THREE MARKS QUESTIONS
1. The area of a triangle is 5 sq units. Two of its vertices are (2, 1) and (3, -2). If the third vertex is (7/2, y), find the value of y. [CBSE 2017]
2. Show that triangle ABC, where A(-2, 0), B(2, 0), C(0, 2) and triangle PQR where (-4, 0), Q(4, 0), R(0, 4) are similar triangles. [CBSE 2017]
FOUR MARKS QUESTIONS
1. If a≠b≠0, prove that the points (a, a²), (b, b²), (0, 0) will not be collinear. [CBSE 2017]
Know about Coordinate Geometry
In Coordinate geometry, we study that the distance of a point from the y-axis is called its x-coordinate, or abscissa (abscissa is a Latin word which means cut off) and the distance of a point from the x-axis is called its y-coordinate, or ordinate (ordinate is a Latin word which means keep it in order). Abscissa and ordinate collectively forms coordinate of a point in Cartesian system. The coordinates of a point on the x-axis are of the form (x, 0), and of a point on the y-axis are of the form (0, y). For more question on coordinate geometry, go through NCERT exemplar problems for Class 10 Maths.
Historical Facts! about Coordinate Geometry
Rene Descartes (1596 – 1650) was a French philosopher, mathematician whose work ‘La geometrie’ includes his application of algebra to geometry from which we now have Cartesian geometry.
What are the key topics covered in NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry?
The NCERT Detailed Solutions for Class 10 Mathematics Chapter 7 Coordinate Geometry focus on essential topics such as the distance formula, section formula and finding the coordinates of a point dividing a line segment in a given ratio. 10th Math Chapter 7 solutions also explain how to determine the area of a triangle using coordinate points and apply these concepts to real-world problems. Exercises like 7.1 to 7.4 cover basic to advanced-level problems, ensuring a comprehensive understanding. By mastering these concepts, students build a strong mathematical foundation necessary for higher studies and competitive exams.
What is the main objective of Chapter 7 Coordinate Geometry in class 10 Maths?
Objectives of Coordinate Geometry
To find the distance between two different points whose co-ordinates are given and finding the co-ordinates of a point, which divides the line segment joining two points in a given ratio internally. To find the co-ordinates of the mid-point of the join of two points to get the co-ordinates of the centroid of a triangle with given vertices.
How can students benefit from Class 10 Maths Chapter 7 NCERT Solutions PDF?
The Class 10 Mathematics Chapter 7 NCERT Book Solutions PDF offers a convenient way for students to access solutions offline, making it easier to revise and practice anytime. These solutions provide step-by-step answers to all textbook exercises, including important questions and formulas like the midpoint and section formulas. By practicing through this PDF, students can strengthen their conceptual clarity, improve their problem-solving speed and prepare effectively for exams. The structured format ensures students grasp the logic behind each solution, making it an indispensable resource for thorough preparation.
How can one get good marks in class 10 Chapter 7 Maths?
For examination purpose, we have to do only first three exercises. Exercise 7.4 is an optional one, given only for extra practice. Out of exercise 7.1, and 7.2, if a student complete the first exercise thoroughly he can score good marks in entire chapter 7 of class 10 Maths.
How are NCERT Solutions for Coordinate Geometry helpful for exam preparation?
NCERT Detailed Solutions for Coordinate Geometry are designed to align perfectly with the CBSE curriculum, ensuring students are well-prepared for exams. These solutions simplify complex problems using clear explanations and examples, making even the most challenging topics easy to understand. By practicing Class 10 Mathematics Chapter 7 important questions and revising the formulas, students gain confidence in solving coordinate geometry problems. The solutions also focus on critical exercises like 7.1 to 7.2, covering questions of varying difficulty levels to enhance analytical thinking and accuracy. This makes the resource an essential tool for scoring well in exams.
What are the Important Results in Chapter 7 Class 10 Maths Coordinate Geometry?
Based on class 10 Maths Chapter 7, the Important Results in Coordinate Geometry are as follows:
1. The co-ordinates of the origin are (0, 0)
2. The y co-ordinate of every point on the x-axis is 0 and the x co-ordinate of every point on the y-axis is 0.
3. The two axes XOX’ and YOY’ divide the plane into four parts called quadrants.
Why is mastering Class 10 Maths Chapter 7 formulas important?
Formulas in Class 10 Maths Chapter 7 form the backbone of solving problems in Coordinate Geometry. Key formulas such as the distance formula, section formula and the area of a triangle help students tackle various types of questions. Mastering these formulas allows students to solve problems quickly and efficiently during exams. The NCERT Textbook solutions for Class 10 Maths Chapter 7 exercise solutions ensure students practice these formulas extensively across different scenarios. By incorporating these formulas into their problem-solving routine, students improve their understanding, enhance accuracy and develop confidence in handling higher-level mathematics.
What are the important examples of class 10 Maths chapter 7 Coordinate Geometry?
Example number 4, 5, 9, 10 and 14 are considered as important examples of 10th Maths Chapter 7 Coordinate Geometry as these are frequently asked in board exams as well as school tests.
What are the main topics to study in chapter 7 Coordinate Geometry Class 10 Maths?
In chapter 7 (Coordinate Geometry) of class 10th math, Students will study:
1) Distance Formula (To find distance between two points P(x₁, y₁) and Q(x₂, y₂)).
2) Section Formula.
How many exercises are there in chapter 7 of 10 Maths?
There are 2 exercises (exercise 7.1, and 7.2) in chapter 7 (Coordinate Geometry) of class 10 Maths and exercise 7.3 and 7.4 are now deleted from syllabus.
Does chapter 7 (Coordinate Geometry) of class 10 math contain any Theorem?
No, chapter 7 (Coordinate Geometry) of class 10 math doesn’t contain any Theorem.
