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Class 10 › Mathematics › Pair of Linear Equations in Two Variables
CBSE2026Class Class 10 · Mathematics1 Marks · Mcq✅ Verified
If a pair of linear equations in two variables is represented by two coincident lines, then the pair of equations has:
A. a unique solution
B. two solutions
C. no solution
D. an infinite number of solutions
✅ Answer & Solution
✅ Correct Answer: D
Coincident lines lie exactly on top of each other, so every point on the line satisfies both equations. Hence the pair has infinitely many solutions (this happens when $\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$).
