CBSE · Class 11 · Mathematics · Linear InequalitiesWhich of the following points lies in the half-plane represented by 2x + 3y > 6?
Step-by-Step Solution
Substitute the coordinates of each point into the inequality 2x + 3y > 6. For (2, 1): 2(2) + 3(1) = 4 + 3 = 7, which is > 6. Thus, (2, 1) satisfies the inequality and lies in the half-plane.
Detailed Options Breakdown
Option : (1, 1)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
Option 1: (0, 0)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
Option 2: (2, 1) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: (1, 0)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Inequalities.
💡 Study Guide: This question tests core syllabus concepts from Linear Inequalities. For formulas, key summaries, and mock exam reference guides, read the full Linear Inequalities Revision Notes.