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2.Relations and Functions
easy
यदि $A = \{ a,\,b\} ,\,B = \{ c,\,d\} ,\,C = \{ d,\,e\} ,\,$ तब $\{ (a,\,c),\,(a,\,d),\,(a,\,e),\,(b,\,c),\,(b,\,d),\,(b,\,e)\} $ बराबर है
A
$A \cap (B \cup C)$
B
$A \cup (B \cap C)$
C
$A × (B \cup C)$
D
$A × (B \cap C)$
Solution
$B \cup C = \{c, d\} \cup (d, e\} = {c, d, e}$
$\therefore $ $A × (B \cup C) = \{a, b\} × \{c, d, e\} = \{(a, c), (a, d), (a, e), (b, c), (b, d), (b, e)\}.$
Standard 11
Mathematics