Mathbee CBSE Mathbee · CBSE Class 12 Maths
CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/2 · Q242 Marksfeasible_region

CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/2 · Question 24 (Linear Programming)

Shade the feasible region for 2x+y≥8, x+2y≥10 and x,y≥0, and list its corner points.
Unbounded shaded region above both lines in the first quadrant.
Unbounded shaded region above both lines in the first quadrant.

✅ Step-by-Step Solution

Final Answer: Unbounded region with corners (0,8), (2,4), (10,0).
  1. Draw the boundary lines and retain points above both in the first quadrant.
  2. Their crossing solves 2x+y=8 and x+2y=10, giving (2,4).
  3. The feasible intercepts are (0,8) and (10,0), and the region extends outward without bound.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Draw the boundary lines and retain points above both in the first quadrant.
  • [1 mark] Their crossing solves 2x+y=8 and x+2y=10, giving (2,4).
  • [0.5 marks] The feasible intercepts are (0,8) and (10,0), and the region extends outward without bound.

Master Chapter 12: Linear Programming

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Linear Programming.
📘 Chapter Notes & All Exercises 🚀 Open in Interactive Workspace →
← Previous Question
Two cards are drawn uniformly without replacement from cards…
Next Question →
Find a,b for continuity of f(x)=2 for x≤3, ax+b for 3<x<5, and 5 for…

All Questions in CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/2

Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10Q11Q12Q13Q14Q15Q16Q17Q18Q19Q20Q21Q22Q23Q24Q25Q26Q27Q28Q29Q30Q31Q32Q33Q34Q35Q36Q37Q38

Related Questions in Linear Programming

Class 12 Linear Programming · Mcq Single Correct
How many feasible solutions satisfy 3x+y≤12, x+2y≤10, x,y≥0?
Class 12 Linear Programming · Mcq Single Correct
The shaded first-quadrant region lies above both x+2y=4 and x+y=3. Which constraints describe…
Class 12 Linear Programming · Mcq Single Correct
Z=ax+by has maximum 42 at (4,6) and minimum 19 at (3,2). Find a,b.
Class 12 Linear Programming · Mcq Single Correct
A bounded feasible polygon has vertices (2,72),(15,20),(40,15). For Z=18x+9y, select the…
Class 12 Linear Programming · Mcq Single Correct
How many vertices does x−y≥0, 2y≤x+2, x,y≥0 have?
Class 12 Linear Programming · Mcq Single Correct
A bounded feasible polygon has vertices (0,3),(3,2),(0,5). Find the minimum of Z=11x+7y.