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Important Questions

Linear Programming

Odisha Board · Class 12 · Mathematics

Most important questions from Linear Programming for Odisha Board Class 12 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

45 questions20 flashcards5 concepts

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A comparison chart showing two graphs: one with a bounded feasible region and another with an unbounded feasible region, explaining the implications for optimal solutions.
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45 Questions·
multiple choicemultiple correcttext answertrue falsematchingordering

Sample Questions

1multiple correct

Find the corner points of the feasible region defined by: x + y ≤ 6, 2x + y ≤ 8, x ≥ 0, y ≥ 0

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(0, 0), (0, 6), (4, 0), (2, 4)

Corner points are intersections of constraint boundaries. Step 1: Origin (0,0). Step 2: x=0, x+y=6 gives (0,6). Step 3: y=0, 2x+y=8 gives (4,0). Step 4: Solve x+y=6 and 2x+y=8 simultaneously: x=2, y=4, giving (2,4). Verify all points satisfy all constraints.

2text answer

If the objective function is Z = 3x + 4y and the corner points are (0,0), (0,5), (4,0), and (2,3), what is the maximum value of Z?

3true false

A linear programming problem always has a unique optimal solution.

Show answer

False

This statement is false. A linear programming problem can have: Step 1: Unique optimal solution (one corner point gives optimum). Step 2: Multiple optimal solutions (objective function parallel to a constraint). Step 3: No solution (infeasible region). Step 4: Unbounded solution (feasible region extends infinitely in direction of optimization).

4text answer

A bakery makes cakes and pastries. Profit per cake is ₹50 and per pastry is ₹30. If x = cakes and y = pastries, write the objective function to maximize profit.

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Frequently Asked Questions

What are the important topics in Linear Programming for Odisha Board Class 12 Mathematics?
Linear Programming covers several key topics that are frequently asked in Odisha Board Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Linear Programming — Odisha Board Class 12 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Linear Programming?
There are 45 practice questions available for Linear Programming. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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