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Pair of Linear Equations in Two Variables
CBSE 2026 Board Exam Set 1 (Code 30/7/1)
CBSE_BOARD_PYQ_2026_30_7_1
Grade 10

Question:

[Section A]

The pair of linear equations $2x + 3y = 5$ and $4x + 6y = 10$ has:

(A) a unique solution
(B) exactly two solutions
(C) infinitely many solutions
(D) no solution

Step-by-Step Solution

Key Concept: Ratio test: $\dfrac{2}{4} = \dfrac{3}{6} = \dfrac{5}{10} = \dfrac{1}{2}$. Coincident lines.
Sol. (C) infinitely many solutions. [1.0 Mark]

Correct Answer: (C) infinitely many solutions
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