Question:

Which of the following is not a vertex of the positive region bounded by the inequalities 2x + 3y ≤ 6, 3x + 3y ≤ 15 and x, y ≥ 0?

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Vertices come from intersection of boundary lines.
Updated On: Mar 18, 2026
  • (0,2)
  • (3,0)
  • (0,0)
  • None of these
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The Correct Option is D

Solution and Explanation


Step 1: Plot inequalities.
Find intersection points in first quadrant.
Step 2: Identifying vertices.
All given points satisfy constraints.
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