असमानता \(2x-3y\geq 6\) के लिए ((0,0)) जांच-बिंदु किस आधे तल को अस्वीकार करता है?

For the inequality \(2x-3y\geq 6\), which half-plane is rejected by the test point ((0,0))?

Explanation opens after your attempt
Correct Answer

A. वह आधा तल जिसमें ((0,0)) हैThe half-plane containing ((0,0))

Step 1

Concept

Substituting ((0,0)) gives \(0\geq 6\), which is false, so the half-plane containing the origin is rejected. In exams, choose a test point not lying on the boundary.

Step 2

Why this answer is correct

The correct answer is A. वह आधा तल जिसमें ((0,0)) है / The half-plane containing ((0,0)). Substituting ((0,0)) gives \(0\geq 6\), which is false, so the half-plane containing the origin is rejected. In exams, choose a test point not lying on the boundary.

Step 3

Exam Tip

((0,0)) रखने पर \(0\geq 6\) गलत है, इसलिए मूल वाला आधा तल हटेगा। परीक्षा में जांच-बिंदु सीमा रेखा पर नहीं होना चाहिए।

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Mathematics Answer, Explanation and Revision Hints

असमानता \(2x-3y\geq 6\) के लिए ((0,0)) जांच-बिंदु किस आधे तल को अस्वीकार करता है? / For the inequality \(2x-3y\geq 6\), which half-plane is rejected by the test point ((0,0))?

Correct Answer: A. वह आधा तल जिसमें ((0,0)) है / The half-plane containing ((0,0)). Explanation: ((0,0)) रखने पर \(0\geq 6\) गलत है, इसलिए मूल वाला आधा तल हटेगा। परीक्षा में जांच-बिंदु सीमा रेखा पर नहीं होना चाहिए। / Substituting ((0,0)) gives \(0\geq 6\), which is false, so the half-plane containing the origin is rejected. In exams, choose a test point not lying on the boundary.

Which concept should I revise for this Mathematics MCQ?

Substituting ((0,0)) gives \(0\geq 6\), which is false, so the half-plane containing the origin is rejected. In exams, choose a test point not lying on the boundary.

What exam hint can help solve this Mathematics question?

((0,0)) रखने पर \(0\geq 6\) गलत है, इसलिए मूल वाला आधा तल हटेगा। परीक्षा में जांच-बिंदु सीमा रेखा पर नहीं होना चाहिए।