Linear Inequalities · Class 11 · CBSE · Science Mathematics
The feasible region is defined by x + y ≤ 5, x - y ≥ 1, x ≥ 0, and y ≥ 0. Which set contains all its vertices?
Practice question from Linear Inequalities (Class 11 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
hard · MCQ · Q-D5566E
The feasible region is defined by x + y ≤ 5, x - y ≥ 1, x ≥ 0, and y ≥ 0. Which set contains all its vertices?
- A.(1, 0), (5, 0), (3, 2)Correct answer
- B.(0, 1), (0, 5), (2, 3)
- C.(1, 0), (5, 0), (2, 3)
- D.(0, 0), (5, 0), (3, 2)
Solution
The boundary lines , , and determine the corner points. Their relevant intersections are , , and , and all satisfy the given inequalities.
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