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CBSE Class 12 Mathematics 2026 Main Paper 65/2/1 · Q171 Marksfeasible_region

CBSE Class 12 Mathematics 2026 Main Paper 65/2/1 · Question 17 (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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