Past papers by chapter · Chapter 12
Linear Programming in past papers.
Every board and sample-paper question on Linear Programming, newest paper first. Each one opens with its full-marks exam answer.
Revise the chapter: Quick lesson · Worked NCERT solutions · Interactive lesson
CBSE Board Examination 2026
CBSE Board Examination 2025
- Board 2025 Q14Maximum and minimum of at given corner points
Corner point method1 mark - Board 2025 Q16Bounded feasible region: does Z have a maximum and a minimum?
Bounded feasible region: maximum and minimum1 mark - Board 2025 Q27Maximise graphically: an unbounded region
LPP: unbounded region, no maximum3 marks
CBSE Board Examination 2024
CBSE Board Examination 2023
CBSE Sample Paper 2026-27
CBSE Sample Paper 2025-26
- Sample 2025-26 Q16Missing constraint from the graph of an LPP
LPP: a constraint read from the feasible region1 mark - Sample 2025-26 Q17Another minimum point of an LPP, given one at
LPP: optimum at more than one point1 mark - Sample 2025-26 Q30Maximise graphically
LPP: maximise graphically, bounded region3 marks
CBSE Sample Paper 2024-25
- Sample 2024-25 Q11Where is maximum on a bounded feasible region
LPP: maximum at a corner point1 mark - Sample 2024-25 Q16Does the minimum at exist on an unbounded region?
LPP: minimum on an unbounded feasible region1 mark - Sample 2024-25 Q30Minimum of occurs at more than two points
LPP: unbounded region, minimum at many points3 marks
CBSE Sample Paper 2023-24
- Sample 2023-24 Q7Condition on for the minimum of at and
Corner point method: minimum at two corners1 mark - Sample 2023-24 Q11Which inequality is not a constraint of the shaded feasible region
Reading constraints from a feasible region1 mark - Sample 2023-24 Q30Minimise , or maximise graphically
LPP graphically: bounded and unbounded regions3 marks