मान लीजिए $A = \{ \theta : 2\cos^2 \theta + \sin \theta \le 2 \}$ और $B = \{ \theta : \frac{\pi}{2} \le \theta \le \frac{3\pi}{2} \}$,तो $A \cap B$ है

  • A
    $\left\{ \theta : \theta \in \left[ \pi, \frac{3\pi}{2} \right] \right\}$
  • B
    $\left\{ \theta : \theta \in \left[ \frac{\pi}{2}, \frac{7\pi}{6} \right] \right\}$
  • C
    $\left\{ \theta : \theta \in \left[ \frac{\pi}{2}, \frac{\pi}{6} \right] \right\}$
  • D
    $\left\{ \theta : \theta \in \left[ \frac{\pi}{2}, \frac{5\pi}{6} \right] \cup \left[ \pi, \frac{3\pi}{2} \right] \right\}$

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किन्हीं दो समुच्चयों $A$ और $B$ के लिए, $A-(A-B)$ किसके बराबर है?

यदि $A$ और $B$ दो अरिक्त समुच्चय हैं,तो $(A - B) \cup (B - A)$ किसके बराबर है?

यदि $A = \{1, 2, 3, 4, 5\}, B = \{2, 4, 6\}, C = \{3, 4, 6\},$ है,तो $(A \cup B) \cap C$ क्या है?

यदि $A = \{3, 6, 9, 12, 15, 18, 21\}$,$B = \{4, 8, 12, 16, 20\}$,$C = \{2, 4, 6, 8, 10, 12, 14, 16\}$,और $D = \{5, 10, 15, 20\}$ है,तो $D - A$ ज्ञात कीजिए।

यदि $A=\{3, 5, 7, 9, 11\}, B=\{7, 9, 11, 13\}, C=\{11, 13, 15\}$ और $D=\{15, 17\}$ है; तो $A \cap (B \cup D)$ ज्ञात कीजिए।

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