2.Relations and Functions
medium

मान लीजिए कि $A =\{1,2\}, B =\{1,2,3,4\}, C =\{5,6\}$ तथा $D =\{5,6,7,8\} .$ सत्यापित कीजिए कि

$A \times C , B \times D$ का एक उपसमुच्चय है।

Option A
Option B
Option C
Option D

Solution

To verify: $A \times C$ is a subset of $B \times D$

$A \times C=\{(1,5),(1,6),(2,5),(2,6)\}$

$A \times D=\{(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),$

$(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)\}$

We can observe that all the elements of set $A \times C$ are the elements of set $B \times D$. Therefore, $A \times C$ is a subset of $B \times D$

Standard 11
Mathematics

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