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CBSE Class 12 Mathematics 2026 Main Paper 65/2/3 · Q31 Marksfeasible_region

CBSE Class 12 Mathematics 2026 Main Paper 65/2/3 · Question 3 (Linear Programming)

Which pair gives the nontrivial constraints for the shaded feasible region?
Two descending lines meet at (3,2). The shaded triangle lies between their meeting point and their positive x-axis intercepts at 5 and 9.
Two descending lines meet at (3,2). The shaded triangle lies between their meeting point and their positive x-axis intercepts at 5 and 9.

✅ Step-by-Step Solution

Final Answer: x+y≥5, x+3y≤9
  1. The intercepts give boundary equations x+y=5 and x+3y=9. The shaded region lies above the first and below the second, as (6,0) confirms.

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