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Mathematics · JEE I SETS
Englishमाना \( A = \{x \in \mathbb{R} : x^2 - 8x + 12 = 0\} \), \( B = \{2, 4, 6\} \) तथा \( D = \{6\} \) हैं। यदि \( S = \{X \subset B : D \subset X \text{ तथा } X \not\subset A\} \) है, तो \( S \) में समुच्चयों की संख्या है:
उत्तर और समाधान देखें
सही उत्तर · विकल्प B
\( 2 \)
व्याख्या
\( A = \{2, 6\} \). Subsets \( X \subset B \) with \( 6 \in X \) are \( \{6\}, \{2, 6\}, \{4, 6\}, \{2, 4, 6\} \). Among these, \( \{6\} \subset A \) and \( \{2, 6\} \subset A \). The remaining sets are \( \{4, 6\} \) and \( \{2, 4, 6\} \), so there are \( 2 \) such sets.
