Vardaan Learning Institute

Previous Year Questions: Pair of Linear Equations in Two Variables

Class: 10 (CBSE) Subject: Mathematics Chapter: 03
BOARD EXAM 2025 (Set 30/6/3)
Q8. The system of equations \(y + a = 0\) and \(2x = b\) has
  • (A) No solution
  • (B) \((-a, \frac{b}{2})\) as its solution
  • (C) Infinite solutions
  • (D) \((\frac{b}{2}, -a)\) as its solution
[1 Mark]
Q25 (a). Solve the following pair of equations algebraically: \(101x + 102y = 304\), \(102x + 101y = 305\)
[2 Marks]
OR
Q25 (b). In a pair of supplementary angles, the greater angle exceeds the smaller by \(50�\). Express the given situation as a system of linear equations and find the measure of each angle.
[2 Marks]
Q26. Check whether the given system of equations is consistent or not. If consistent, solve graphically: \(x - 2y = 0\), \(2x + y = 0\)
[3 Marks]