\(समुच्चय (E={x\in \mathbb{Z}: x^2=9\) या \(x^2=16}) में कितने सदस्य हैं\)?
\(How many elements are in (E={x\in \mathbb{Z}: x^2=9\) or \(x^2=16})\)?
Correct answer and explanation
C. (4)
Concept
\(x^2=9\) से (x=-3,3) मिलते हैं। / From \(x^2=9\), we get (x=-3,3).
Why this answer is correct
\(x^2=16\) से (x=-4,4) मिलते हैं। इसलिए \(E=\{-4,-3,3,4\}\) और इसमें (4) सदस्य हैं। / From \(x^2=16\), we get (x=-4,4). Hence \(E=\{-4,-3,3,4\}\), which has (4) elements.
Exam Tip
वर्ग वाले प्रश्नों में धन और ऋण दोनों मूलों को गिनना न भूलें। / In square-based questions, do not forget both positive and negative roots.
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