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NDA 2024 Maths · Mathematics · Quadratic Equations · easy

The system of equations 2x-y=3, 4x-2y=7 has

Single correct option

The system of equations 2x−y=32x-y=3, 4x−2y=74x-2y=7 has
  1. A. a unique solution
  2. B. infinitely many solutions
  3. C. exactly two solutions
  4. D. no solution
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Answer: (D) no solution

Doubling the first equation gives 4x−2y=64x-2y=6, which contradicts 4x−2y=74x-2y=7. The lines are parallel and distinct, so there is no solution. Trap: assuming coefficients being proportional always means infinitely many.
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Original question written in the NDA 2024 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake