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Pair of Linear Equations in Two variables — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsPair of Linear Equations in Two variables1 Mark
Question
Do the following equations represent a pair of coincident lines? Justify your answer:
-2x - 3y = 1 and 6y + 4x = -2
✓

Answer

Condition for coincident lines $\frac{\text{a}_1}{\text{a}_2}=\frac{\text{b}_1}{\text{b}_2}=\frac{\text{c}_1}{\text{c}_2}\ .....(\text{i})$
-2x - 3y = 1 and 6y + 4x = -2
Here, $\frac{\text{a}_1}{\text{a}_2}=\frac{-2}{4}=\frac{-1}{2}$, $\frac{\text{b}_1}{\text{b}_2}=\frac{-3}{6}=\frac{-1}{2}$ and $\frac{\text{c}_1}{\text{c}_2}=\frac{1}{-2}$
So, the given system of linear equations does not satisfy given condition (i).

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