CBSE Class 10 Maths Important Questions Chapter 7 - Coordinate Geometry - Free PDF Download
FAQs on CBSE Class 10 Maths Important Questions on Chapter 7 - Coordinate Geometry
1. What are the most important questions in Coordinate Geometry Class 10 for CBSE 2025–26 board exams?
The most important questions in Coordinate Geometry Class 10 often cover the following topics, as per CBSE 2025–26 exam weightage:
- Finding the distance between two points using the distance formula
- Determining the midpoint of a line segment
- Applying the section formula to divide a segment in a given ratio
- Calculating the area of a triangle given its vertices
- Proving collinearity or specific geometric properties using coordinates
2. How can I quickly identify 3-mark and 5-mark questions from Coordinate Geometry in Class 10 board papers?
CBSE typically assigns 3-mark questions for direct application of distance, midpoint, or section formulas, and 5-mark questions for combined or value-based problems. For example:
- 3-mark: Find the area of a triangle with given vertices.
- 5-mark: Prove a geometric property (like collinearity or equal distance) or solve a value-based context using coordinate methods.
3. Why is the section formula often considered a high-frequency topic in Coordinate Geometry important questions?
The section formula appears in important questions because it assesses students’ conceptual understanding and calculation skills. CBSE exams frequently test:
- Dividing a line segment into a given ratio (internally or externally)
- Finding unknown coordinates using section logic
- Applications in geometry (like centroids or midpoints)
4. What are common traps or mistakes students make in Coordinate Geometry Class 10 important questions?
Students often make mistakes such as:
- Mixing up the signs of coordinates when substituting into formulas
- Incorrect application of the section or midpoint formula
- Neglecting units in area or distance answers
- Confusing origin placement in coordinates
- Skipping stepwise workings, leading to calculation errors
5. How has the type of questions from Coordinate Geometry changed in recent CBSE Class 10 maths board exams?
Recent CBSE exams have shifted towards application-based and value-based questions, often integrating Coordinate Geometry with real-life contexts or visual interpretation. There is an increasing trend of HOTS (Higher-Order Thinking Skills) and reasoning-based problems instead of just procedural computation. Students should focus on understanding concepts and practicing mixed-format problems as part of their important question revision for Class 10.
6. Can the distance formula be used for proving collinearity among three points? How is this tested in important questions?
Yes, the distance formula is often used to check if three points are collinear by comparing the sum of the lengths of two segments to the third. In board important questions, you may be asked to:
- Calculate all three distances between points
- Demonstrate that the sum of two distances equals the third
- State the conclusion about collinearity with justification
7. What is a HOTS (Higher Order Thinking Skills) question in Class 10 Coordinate Geometry, and how should I tackle it?
A HOTS question integrates two or more coordinate geometry concepts or presents application-based reasoning. For example:
- Finding the point dividing a segment in a given ratio, then using that point to calculate the area of a triangle
- Linking section formula results to value-based or social scenarios
8. What concepts should I master first to confidently answer all important questions in Class 10 Coordinate Geometry?
To confidently solve all important and expected questions, master:
- Distance formula: Finding distance between any two points
- Midpoint formula and special case applications
- Section formula (internal and external division)
- Area of triangle using coordinates
- Understanding and plotting points on the cartesian plane
9. Are value-based questions in Coordinate Geometry important for Class 10 boards? Give a recent example.
Yes, value-based questions are important as CBSE integrates values or situations into coordinate geometry questions. Example:
- A school asks students to place a flag at the midpoint between two coordinates representing two friends, and you must find the coordinate and explain the value shown (e.g., friendship, teamwork).
10. How much weightage does Chapter 7 (Coordinate Geometry) usually carry in the Class 10 board exam?
As per recent CBSE patterns (2025–26), Chapter 7 (Coordinate Geometry) generally carries 6–8 marks in the Class 10 maths board exam. Questions may include 1-mark MCQs, 3-mark application cases, and 4- or 5-mark HOTS problems. Check the latest CBSE syllabus for any updates to marking schemes.
11. What conceptual trap might confuse students about the midpoint and section formulas?
The main conceptual trap is mistaking when to use the midpoint formula (when the ratio is 1:1) versus the general section formula (for any ratio m:n). In important exam questions, always check:
- If the segment is divided equally, then use the midpoint formula
- If the ratio is given as m:n, apply the section formula
12. What type of proof or reasoning is often asked in ‘Prove that’ Coordinate Geometry questions for Class 10?
‘Prove that’ questions in this chapter typically ask students to:
- Show that the midpoint of the hypotenuse is equidistant from all vertices (right triangle property)
- Prove that the diagonals of a rectangle bisect each other and are equal
- Demonstrate that three given points are collinear using calculations

















