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CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/3 · Q242 Marksfeasible_region

CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/3 · Question 24 (Linear Programming)

Shade the feasible region 4x+y≥20, 2x+3y≥30, x,y≥0 and list its corners.
Unbounded first-quadrant region above both lines, with corners (0,20), (3,8), and (15,0).
Unbounded first-quadrant region above both lines, with corners (0,20), (3,8), and (15,0).

✅ Step-by-Step Solution

Final Answer: Unbounded, with corners (0,20), (3,8), (15,0).
  1. The feasible side is above both lines in the first quadrant.
  2. Solve the boundary equalities to get their intersection (3,8).
  3. The feasible axis intercepts are (0,20) and (15,0).

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] The feasible side is above both lines in the first quadrant.
  • [1 mark] Solve the boundary equalities to get their intersection (3,8).
  • [0.5 marks] The feasible axis intercepts are (0,20) and (15,0).

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All Questions in CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/3

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