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CBSE Class 10 Maths Chapter 3: Pair of Linear Equations Notes

📖 Chapter Notes ✏️ NCERT Solutions 📥 PDF Notes

1. General Form of a Pair of Linear Equations

A pair of linear equations in two variables ($x$ and $y$) can be represented as:

$a_1x + b_1y + c_1 = 0$
$a_2x + b_2y + c_2 = 0$

Where $a_1, b_1, c_1, a_2, b_2, c_2$ are real numbers and $a_1^2+b_1^2 \neq 0$, $a_2^2+b_2^2 \neq 0$.

2. Consistency and Graphical Interpretation (Most Important Table)

Google loves structured data. This table contains the core conditions that get asked in 1-mark MCQs and case studies:

Ratio Comparison Graphical Representation Algebraic Interpretation Consistency
$\frac{a_1}{a_2} \neq \frac{b_1