सिस्टम \(x+y \le 4\), \(x-y \ge 0\), \(y \ge 0\) का कौन सा शीर्ष सही नहीं है?

Which vertex is not correct for the system \(x+y \le 4\), \(x-y \ge 0\), and \(y \ge 0\)?

Explanation opens after your attempt
Correct Answer

D. ((0,4))

Step 1

Concept

At ((0,4)), (x-y=-4), which does not satisfy \(x-y \ge 0\). Check every possible vertex against all boundaries.

Step 2

Why this answer is correct

The correct answer is D. ((0,4)). At ((0,4)), (x-y=-4), which does not satisfy \(x-y \ge 0\). Check every possible vertex against all boundaries.

Step 3

Exam Tip

((0,4)) पर (x-y=-4), जो \(x-y \ge 0\) को संतुष्ट नहीं करता। हर संभावित शीर्ष को सभी सीमाओं से जांचें।

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Mathematics Answer, Explanation and Revision Hints

सिस्टम \(x+y \le 4\), \(x-y \ge 0\), \(y \ge 0\) का कौन सा शीर्ष सही नहीं है? / Which vertex is not correct for the system \(x+y \le 4\), \(x-y \ge 0\), and \(y \ge 0\)?

Correct Answer: D. ((0,4)). Explanation: ((0,4)) पर (x-y=-4), जो \(x-y \ge 0\) को संतुष्ट नहीं करता। हर संभावित शीर्ष को सभी सीमाओं से जांचें। / At ((0,4)), (x-y=-4), which does not satisfy \(x-y \ge 0\). Check every possible vertex against all boundaries.

Which concept should I revise for this Mathematics MCQ?

At ((0,4)), (x-y=-4), which does not satisfy \(x-y \ge 0\). Check every possible vertex against all boundaries.

What exam hint can help solve this Mathematics question?

((0,4)) पर (x-y=-4), जो \(x-y \ge 0\) को संतुष्ट नहीं करता। हर संभावित शीर्ष को सभी सीमाओं से जांचें।