CBSE Class 10 Constructions (Deleted Chapter 11) 2025 Syllabus
Here is the latest 2025 syllabus update for CBSE Class 10 Maths, Chapter 11, “Constructions.” This entire chapter has been DELETED from the rationalized NCERT syllabus and will not be in the 2025 board exams. This guide explains why this topic was removed, while also providing clear notes and Q&A on its core concepts—like dividing a line segment and constructing tangents—and how they still apply to the “Triangles” and “Circles” chapters.
CBSE Class 10 Maths: Chapter 11 “Constructions”
A guide to the core concepts, Q&A, and syllabus status for 2025.
Syllabus Status: Chapter Deleted
CBSE has removed the entire “Constructions” chapter (formerly Chapter 11) from the Class 10 Mathematics syllabus for the 2024-25 academic session. This topic will not be assessed in the board examinations.
If it’s deleted, why is this page here?
That is a fair question. While you no longer need to practice drawing with a compass, the *principles* behind these constructions are still present in your syllabus.
- The logic for dividing a line segment is based on the **Basic Proportionality Theorem (BPT)** from the “Triangles” chapter.
- The logic for drawing tangents is based on theorems from the **”Circles” chapter**.
Understanding the “why” behind these old constructions can strengthen your grasp of the “Triangles” and “Circles” chapters. This guide is here to explain that logic.
Drawing: Division of a Line Segment (Ratio 5:8)
This drawing shows the method. A ray AX is drawn at an acute angle to line AB. It is marked with 13 (5 + 8) equal points. The last point (A13) is joined to B. A line parallel to A13-B is drawn from A5 to find point C.
Drawing: Tangents from an External Point
This drawing shows the method. To draw tangents from P, first find the midpoint M of the line OP (O is the center). A new circle is drawn with center M and radius MO. The points where this new circle hits the original circle (Q and R) are the points of tangency.
Drawing: Similar Triangle (Scale Factor 3/4)
This drawing shows the method for a scale factor less than 1. A ray BX is drawn. The larger number (4) is used to mark 4 points. The *denominator* point (B4) joins to C. The *numerator* point (B3) is used to draw a parallel line B3-C’, creating the new smaller triangle A’BC’.
