यदि \(R=\{(x,y):y^2=x,\ x\in{1,4},\ y\in{-2,-1,1,2}\}\) को (x) से (y) की ओर माना जाए, तो (R) फलन क्यों नहीं है?

If \(R=\{(x,y):y^2=x,\ x\in{1,4},\ y\in{-2,-1,1,2}\}\) is considered from (x) to (y), why is (R) not a function?

Explanation opens after your attempt
Correct Answer

A. क्योंकि (x=1) की दो छवियां (1) और (-1) हैंBecause (x=1) has two images (1) and (-1)

Step 1

Concept

From \(y^2=1\), both (y=1) and (y=-1) are obtained. In exams, if one input has two images, it is not a function.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि (x=1) की दो छवियां (1) और (-1) हैं / Because (x=1) has two images (1) and (-1). From \(y^2=1\), both (y=1) and (y=-1) are obtained. In exams, if one input has two images, it is not a function.

Step 3

Exam Tip

\(y^2=1\) से (y=1) और (y=-1) दोनों मिलते हैं। परीक्षा में एक इनपुट की दो छवियां मिलें तो फलन नहीं होता।

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Mathematics Answer, Explanation and Revision Hints

यदि \(R=\{(x,y):y^2=x,\ x\in{1,4},\ y\in{-2,-1,1,2}\}\) को (x) से (y) की ओर माना जाए, तो (R) फलन क्यों नहीं है? / If \(R=\{(x,y):y^2=x,\ x\in{1,4},\ y\in{-2,-1,1,2}\}\) is considered from (x) to (y), why is (R) not a function?

Correct Answer: A. क्योंकि (x=1) की दो छवियां (1) और (-1) हैं / Because (x=1) has two images (1) and (-1). Explanation: \(y^2=1\) से (y=1) और (y=-1) दोनों मिलते हैं। परीक्षा में एक इनपुट की दो छवियां मिलें तो फलन नहीं होता। / From \(y^2=1\), both (y=1) and (y=-1) are obtained. In exams, if one input has two images, it is not a function.

Which concept should I revise for this Mathematics MCQ?

From \(y^2=1\), both (y=1) and (y=-1) are obtained. In exams, if one input has two images, it is not a function.

What exam hint can help solve this Mathematics question?

\(y^2=1\) से (y=1) और (y=-1) दोनों मिलते हैं। परीक्षा में एक इनपुट की दो छवियां मिलें तो फलन नहीं होता।