Class 11 Mathematics Linear Inequalities Graphical solution of linear inequalities in two variables Medium Level 51

कौन-सी असमिका रेखा (2x+3y=6) के उस half-plane को दर्शाती है जिसमें मूल बिंदु नहीं है और boundary शामिल है?

Which inequality represents the half-plane of (2x+3y=6) that does not contain the origin and includes the boundary?

Explanation opens after your attempt
Correct Answer

A. \(2x+3y\ge 6\)

Step 1

Concept

At origin the value is (0), so the origin side is \(\le 6\) and the opposite side is \(\ge 6\). Use equality signs when boundary is included.

Step 2

Why this answer is correct

The correct answer is A. \(2x+3y\ge 6\). At origin the value is (0), so the origin side is \(\le 6\) and the opposite side is \(\ge 6\). Use equality signs when boundary is included.

Step 3

Exam Tip

मूल बिंदु पर (0) मिलता है, इसलिए origin वाली ओर \(\le 6\) है और विपरीत ओर \(\ge 6\) होगी। परीक्षा में boundary included हो तो equality वाला चिन्ह लें।

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कौन-सी असमिका रेखा (2x+3y=6) के उस half-plane को दर्शाती है जिसमें मूल बिंदु नहीं है और boundary शामिल है? / Which inequality represents the half-plane of (2x+3y=6) that does not contain the origin and includes the boundary?

Correct Answer: A. \(2x+3y\ge 6\). Explanation: मूल बिंदु पर (0) मिलता है, इसलिए origin वाली ओर \(\le 6\) है और विपरीत ओर \(\ge 6\) होगी। परीक्षा में boundary included हो तो equality वाला चिन्ह लें। / At origin the value is (0), so the origin side is \(\le 6\) and the opposite side is \(\ge 6\). Use equality signs when boundary is included.

Which concept should I revise for this Mathematics MCQ?

At origin the value is (0), so the origin side is \(\le 6\) and the opposite side is \(\ge 6\). Use equality signs when boundary is included.

What exam hint can help solve this Mathematics question?

मूल बिंदु पर (0) मिलता है, इसलिए origin वाली ओर \(\le 6\) है और विपरीत ओर \(\ge 6\) होगी। परीक्षा में boundary included हो तो equality वाला चिन्ह लें।