संबंध \(R=\{(x,y):y=\sqrt{x-1},\ x\in{1,2,5,10},\ y\in{0,1,2,3}\}\) के लिए सही कथन कौन सा है?
Which statement is correct for \(R=\{(x,y):y=\sqrt{x-1},\ x\in{1,2,5,10},\ y\in{0,1,2,3}\}\)?
Explanation opens after your attempt
Correct Answer
A. यह फलन है और परिसर ({0,1,2,3}) हैIt is a function and range is ({0,1,2,3})
Concept
The expression \(\sqrt{x-1}\) gives the principal non-negative square root, so each (x) has one image. The obtained values are ({0,1,2,3}).
Why this answer is correct
The correct answer is A. यह फलन है और परिसर ({0,1,2,3}) है / It is a function and range is ({0,1,2,3}). The expression \(\sqrt{x-1}\) gives the principal non-negative square root, so each (x) has one image. The obtained values are ({0,1,2,3}).
Exam Tip
\(\sqrt{x-1}\) प्रधान अऋण वर्गमूल देता है, इसलिए हर (x) की एक छवि है। प्राप्त मान ({0,1,2,3}) हैं।
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