Pair of Linear Equations in Two Variables
CH03 Question Bank
CBSE_CH03_QUESTION_BANK
Grade 10
Question:
Without drawing a graph, state whether the lines represented by $4x-2y=6$ and $2x-y=3$ intersect at a point, are parallel, or coincide.
Step-by-Step Solution
Key Concept: Compare the ratios of coefficients.
$\dfrac{a_1}{a_2}=\dfrac{4}{2}=2,\ \dfrac{b_1}{b_2}=\dfrac{-2}{-1}=2,\ \dfrac{c_1}{c_2}=\dfrac{6}{3}=2$. [1.0 Mark]
Since all three ratios are equal, the lines coincide. [1.0 Mark]
Correct Answer:
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