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Jee Main 2025 — Medium JEE math MCQ

Let the points $(\frac{11}{2}, \alpha)$ lie on or inside the triangle with sides $x + y = 11$, $x + 2y = 16$ and $2x + 3y = 29$. Then the product of the smallest and the largest values of $\alpha$ is equal to
  1. A. 44
  2. B. 22
  3. C. 33
  4. D. 55

Solution

The correct option is **C**. (C. 33)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Let the points (112,α)(\frac{11}{2}, \alpha) lie on or inside the triangle with sides x+y=11x + y = 11, x+2y=16x + 2y = 16 and 2x+3y=292x + 3y = 29. Then the product of the smallest and the largest values of α\alpha is equal to
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep