Practice Essential Coordinate Geometry MCQs for Class 10 Maths Exams 2025-26
FAQs on Top MCQ Practice for Class 10 Maths Coordinate Geometry (2025-26)
1. What are the most important types of questions to practice from Coordinate Geometry for the CBSE Class 10 board exams 2025-26?
For the 2025-26 exams, focus on questions based on the distance formula and section formula. Important question types include:
- Proving properties of triangles (e.g., isosceles, equilateral) and quadrilaterals (e.g., square, rhombus, parallelogram) using the distance formula.
- Finding the coordinates of a point that divides a line segment in a given ratio.
- Determining the ratio in which a line segment is divided by a point or an axis.
- Finding a point on an axis (X or Y) that is equidistant from two given points.
2. What is the expected marks weightage for Coordinate Geometry in the Class 10 Maths board exam?
As per the CBSE curriculum for 2025-26, the unit on Coordinate Geometry holds a weightage of 6 marks. These marks are typically distributed across different sections, including Multiple Choice Questions (MCQs), Short Answer (SA), and Long Answer (LA) type questions, testing both direct formula application and problem-solving skills.
3. Which topics in Class 10 Coordinate Geometry are important for HOTS (Higher-Order Thinking Skills) questions?
HOTS questions in Coordinate Geometry often integrate multiple concepts. Important areas for such questions include:
- Problems requiring the use of both the distance and section formulas to arrive at a solution.
- Questions about finding the coordinates of special points related to triangles, like the circumcentre (by finding the intersection of perpendicular bisectors, which involves equidistant points).
- Proofs involving geometric figures where you must first find the coordinates of a vertex before proving a property.
- Case-based questions where a real-world scenario is modelled using coordinate geometry.
4. How does analysing previous years' questions help in identifying important questions for Coordinate Geometry?
Analysing previous years' board papers is a crucial strategy. It helps you understand the recurring patterns and types of questions that are frequently asked. You can identify the sub-topics that are given more weightage, such as proving properties of quadrilaterals or finding a ratio using the section formula. This helps in focusing your preparation on high-yield areas for the upcoming 2025-26 board exam.
5. Are questions involving finding the ratio in which a point divides a line segment important?
Yes, questions on finding the ratio are very important and are a standard type of problem from this chapter. A common and efficient method to solve these is to assume the ratio is k:1. By applying the section formula and solving for 'k', you can easily find the required ratio. These questions frequently appear as 2 or 3-mark problems in the board exams.
6. What are the most common mistakes students make in Coordinate Geometry problems?
Students often lose marks due to simple errors. The most common mistakes include:
- Sign errors: Incorrectly handling negative coordinates, especially in the distance formula.
- Formula mix-up: Confusing the section formula (using '+' for internal division) with other formulas.
- Coordinate order: Swapping (x1, y1) with (x2, y2) midway through a calculation.
- Incomplete proofs: Forgetting to prove all necessary conditions for a shape (e.g., proving only opposite sides are equal for a parallelogram but not checking diagonals for a rectangle).
7. Why is checking diagonals necessary when asked to prove a quadrilateral is a square or a rectangle?
This is a critical concept for scoring full marks. Simply proving all four sides are equal only proves the quadrilateral is a rhombus. To confirm it is a square, you must also prove that its diagonals are equal. Similarly, proving opposite sides are equal only confirms it is a parallelogram. To prove it is a rectangle, you must additionally show that its diagonals are equal.
8. Is the topic 'Area of a Triangle' using coordinates part of the important questions for the Class 10 syllabus 2025-26?
No, as per the revised CBSE syllabus for the 2025-26 academic session, the topic of 'Area of a Triangle' using the coordinate geometry formula has been removed. Therefore, you will not be asked questions on this specific topic in the board exam. Your preparation should focus exclusively on the distance formula and the section formula.











