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10th CBSE MATHS FORMULAE CHAPTER NO.3: PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
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CHAP TER NO.3 Pair of Linear Equation in two variable 1)General form of linear equation: 1) In one variable; ax+b=0 (a≠ 0) 2) In two variable: ax+by+c=0 2) General form of pairs of linear equation in two variables: a₁x+b₁y+c₁=0 and a₂x+b₂y+c₂=0 Geometrical interpretation and algebraic interpretation Pair of Linear Equation Algebraic Condition Graphical Interpretation Algebraic Interpretation Consistency a₁x+b₁y+c₁=0 and a₂x+b₂y+c₂=0 a₁/ a₂ ≠ b₁/ b ₂ Intersecting lines Unique Solution Consistency a₁/ a₂= b₁/ b₂=c ₁ /c ₂ Coincident lines Infinitely many solution Dependent consistency a₁/ a₂= b₁/ b₂ ≠ c ₁ /c ₂ Parallel lines No solution Inconsistent #Methods of Solving Pair of Linear Equations...