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NCERT Solutions For Class 10 Maths Chapter 7 Coordinate Geometry in Hindi - 2025-26
In NCERT Solutions Class 10 Maths Chapter 7 In Hindi, you’ll explore the world of coordinate geometry in a very simple and clear way. This chapter helps you understand how to find the position of points, calculate distances between them, and much more—making maths both interesting and practical for real life.
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If you ever get stuck or feel confused about topics like the distance formula or finding midpoints, you are not alone! These Vedantu solutions explain each part step by step, so you can learn at your own pace. You can also download the easy-to-read PDF in Hindi and practice anytime, even without the internet. For even more help, you can find the full Class 10 Maths syllabus here.
These NCERT Solutions will make your exam preparation smoother and help you solve different types of questions confidently. Coordinate Geometry is an important chapter and carries 6 marks in your CBSE exam, so practicing these solutions will really help you score better!
NCERT Solutions For Class 10 Maths Chapter 7 Coordinate Geometry in Hindi - 2025-26
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FAQs on NCERT Solutions For Class 10 Maths Chapter 7 Coordinate Geometry in Hindi - 2025-26
1. Where can I find accurate, step-by-step NCERT Solutions for Class 10 Maths Chapter 7 (Coordinate Geometry) for the 2025-26 session?
You can find reliable, step-by-step NCERT Solutions for Class 10 Maths Chapter 7, updated for the CBSE 2025-26 academic session, on Vedantu. Our solutions are prepared by subject matter experts to ensure every problem from the NCERT textbook is solved using the correct CBSE-prescribed methodology, helping you understand the concepts and score well in your exams.
2. How many exercises are there in the latest NCERT textbook for Class 10 Maths Chapter 7?
As per the rationalised CBSE syllabus for 2025-26, Class 10 Maths Chapter 7, Coordinate Geometry, contains two exercises. These exercises cover all the essential topics, including the Distance Formula and the Section Formula, that are part of the current curriculum.
3. What are the key formulas needed to solve the problems in NCERT Class 10 Maths Chapter 7?
To solve the questions in Chapter 7, Coordinate Geometry, you primarily need to master two fundamental formulas:
The Distance Formula: Used to find the distance between two points P(x₁, y₁) and Q(x₂, y₂). The formula is: d = √[(x₂ – x₁)² + (y₂ – y₁)²].
The Section Formula: Used to find the coordinates of a point that divides the line segment joining two points P(x₁, y₁) and Q(x₂, y₂) in a ratio m₁:m₂. The formula is: P(x, y) = [ (m₁x₂ + m₂x₁)/(m₁+m₂), (m₁y₂ + m₂y₁)/(m₁+m₂) ].
4. Why is it important to follow the step-by-step method provided in NCERT Solutions for Coordinate Geometry?
Following a step-by-step method is crucial for several reasons. Firstly, it ensures you present your answer in a clear, logical sequence, which is essential for fetching full marks in CBSE board exams. Secondly, it helps break down complex problems into manageable parts, reducing the chance of calculation errors. Finally, this structured approach builds a strong conceptual foundation, making it easier to tackle higher-order thinking skills (HOTS) questions.
5. What is a common mistake students make when applying the Section Formula in Chapter 7 problems?
A very common mistake is mixing up the ratios (m₁ and m₂) with the coordinates (x₁, y₁, x₂, y₂). Students often multiply m₁ with x₁ and m₂ with x₂, instead of the correct cross-multiplication (m₁ with x₂ and m₂ with x₁). To avoid this error, always write down the formula and label your points and ratios clearly before substituting the values. The NCERT solutions demonstrate this correct application in every relevant problem.
6. What type of questions are solved using the Distance Formula in NCERT Chapter 7?
The NCERT solutions for questions based on the Distance Formula will guide you on how to solve problems such as:
Finding the distance between two given points.
Determining if three given points are collinear.
Identifying the type of triangle (e.g., isosceles, equilateral) or quadrilateral (e.g., square, rhombus) formed by given vertices.
Finding a point on an axis that is equidistant from two other points.
7. How do the NCERT Solutions for Chapter 7 help in proving that three points are collinear?
The NCERT Solutions explain that three points (A, B, and C) are collinear if they lie on the same straight line. To prove this using the distance formula, the solutions demonstrate the condition: the sum of the lengths of any two line segments must equal the length of the third segment (e.g., AB + BC = AC). By providing step-by-step calculations, the solutions make it clear how to apply a theoretical concept to a practical proof.
8. What is the special case of the Section Formula, and how is it used in the NCERT exercises?
A crucial special case of the Section Formula is the Mid-point Formula. This occurs when a point divides a line segment in a 1:1 ratio (m₁=1, m₂=1). The formula simplifies to P(x, y) = [ (x₁+x₂)/2, (y₁+y₂)/2 ]. The NCERT solutions for Exercise 7.2 frequently use this to find the midpoint of a triangle's side, the diagonals of a parallelogram, or the centre of a circle given the endpoints of a diameter.
9. Do Vedantu's NCERT Solutions for Class 10 Maths Chapter 7 cover all the textbook questions?
Yes, absolutely. Our NCERT Solutions for Class 10 Maths Chapter 7 provide detailed, step-by-step answers for every single question in both Exercise 7.1 and Exercise 7.2 of the latest 2025-26 NCERT textbook. This ensures you have a comprehensive resource to prepare for your exams without missing any part of the syllabus.
