समुच्चय \(A={x \in \mathbb{Z}:x^2=x}\) का सही रोस्टर रूप कौन सा है?
Which is the correct roster form of the set \(A={x \in \mathbb{Z}:x^2=x}\)?
Explanation opens after your attempt
Correct Answer
B. ({0,1})
Concept
Write \(x^2=x\) as \(x^2-x=0\).
Why this answer is correct
From (x(x-1)=0), we get (x=0) or (x=1), and both are integers.
Exam Tip
While writing a set, include each value only once. चरण 1: समीकरण \(x^2=x\) को \(x^2-x=0\) लिखें। चरण 2: (x(x-1)=0) से (x=0) या (x=1) मिलता है और दोनों पूर्णांक हैं। चरण 3: समुच्चय लिखते समय सभी मानों को एक बार ही लिखें।
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