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Jee Main 2025 — Medium JEE math MCQ

If the system of equations $5x + \lambda y + 3z = 12$ and $100x - 47y + \mu z = 212$ has infinitely many solutions, then $\mu - 2\lambda$ is equal to
  1. A. $57$
  2. B. $59$
  3. C. $55$
  4. D. $56$

Solution

The correct option is **A**. (A. $57$)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
If the system of equations 5x+λy+3z=125x + \lambda y + 3z = 12 and 100x−47y+μz=212100x - 47y + \mu z = 212 has infinitely many solutions, then μ−2λ\mu - 2\lambda is equal to
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