Class 10 Maths Chapter 3 – Pair of Linear Equations in Two Variables | NCERT Solutions & Board Questions (2025–26)
Class 10 CBSE Maths – Chapter 3: Pair of Linear Equations in Two Variables 🔹 Key Concepts and Formulas ✅ Linear Equation in Two Variables: An equation of the form: a x + b y + c = 0 ax + by + c = 0 Where a, b, c are real numbers, and a and b are not both zero. ✅ Solution of a Pair of Linear Equations: A solution is a pair (x, y) that satisfies both equations simultaneously. ✅ Graphical Method: Each equation represents a straight line. The point of intersection gives the solution. Types of Solutions: Consistent and Unique (Lines intersect at one point) Consistent and Infinite Solutions (Lines coincide) Inconsistent (Lines are parallel) Condition Table: Condition Type of Lines Number of Solutions a 1 a 2 ≠ b 1 b 2 \frac{a_1}{a_2} \neq \frac{b_1}{b_2} Intersecting lines Unique solution a 1 a 2 = b 1 b 2 = c 1 c 2 \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} Coincident lines Infinitely many a 1 a 2 = b 1 b 2 ≠ c 1 c 2 \fra...