Class CBSE Class 12 Mathematics Linear Programming Q #676
KNOWLEDGE BASED
UNDERSTAND
1 Marks 2024 AISSCE(Board Exam) MCQ SINGLE
The common region determined by all the constraints of a linear programming problem is called :
(A) an unbounded region
(B) an optimal region
(C) a bounded region
(D) a feasible region
Correct Answer: D

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Step-by-Step Solution

The common region determined by all the constraints of a linear programming problem is called the feasible region. This region represents all possible solutions that satisfy all the constraints of the problem.

Correct Answer: a feasible region

AI Suggestion: Option D

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Pedagogical Audit
Bloom's Analysis: This is an UNDERSTAND question because it requires the student to recall the definition of the feasible region in linear programming.
Knowledge Dimension: FACTUAL
Justification: The question directly tests the student's knowledge of a specific term ("feasible region") used in linear programming. It is a definition-based recall.
Syllabus Audit: In the context of CBSE Class 12, this is classified as KNOWLEDGE. The question is directly based on definitions and concepts explained in the textbook.