Master Class 10 Maths Chapter 11: Constructions – Line Division, Similar Triangles & Tangents Explained with NCERT Solutions
✍️ Chapter 11: Constructions – Class 10 Maths 🔍 Concepts Covered This chapter focuses on geometrical constructions using a compass and straightedge only , without measuring instruments like protractors. Two major types of constructions are covered: 🧠 1. Division of a Line Segment in a Given Ratio (m:n) ➤ Concept : Divide a given line segment internally in the ratio m : n m:n using only ruler and compass. 📌 Construction Steps : Let’s divide a line segment A B AB in the ratio m : n m:n : Draw A B AB using a scale. Draw a ray A X AX making an acute angle with A B AB . Mark m + n m+n equal divisions on A X AX using compass — say A 1 , A 2 , . . . , A m + n A_1, A_2, ..., A_{m+n} . Join A m + n A_{m+n} to B B . Draw a line through A m A_m parallel to A m + n B A_{m+n}B (using construction of a triangle with equal corresponding angles). This line meets A B AB at point P P . ✅ Hence, P P divides A B AB in the ratio m : n m:n . 🧠 2. Construction...