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Class 12 Mathematics के इस tag से जुड़े questions।
Class 12 · Mathematics
→Which of the following relations on the set of integers \(\mathbb{Z}\) is an equivalence relation?
Class 12 · Mathematics
→On the set (A={1,2,3,4}), the relation (R={(a,b):a-b\text{ is divisible by }2}) is given. Choose the correct statement about this relation.
Class 12 · Mathematics
→On the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) is given. Which pair must be added to make it an equivalence relation?
Class 12 · Mathematics
→If a relation is an equivalence relation, must it be transitive?
Class 12 · Mathematics
→On the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3)}) is given. What type of relation is it?
Class 12 · Mathematics
→Which three properties must a relation have to be an equivalence relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a<b}) and (S={(a,b):a,b\text{ are both odd}}). What is correct about (R\cap S)?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (R={(a,b):a) and (b) are both even or (a=b)(}). What is the nature of this relation?
Class 12 · Mathematics
→On real numbers, (aRb) is defined when (a=b) or (a=-b). Is this relation transitive?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (R={(a,b):a\le b\text{ and }a,b\text{ are both divisible by }3}). What is the nature of this relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (R={(a,b):a) and (b) are both multiples of (3)(}). What is the nature of this relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a) is less than (b) or (a=b)(}). What is the nature of this relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (R={(a,b):a<b\text{ and }b-a\text{ is even}}). What is the nature of this relation?
Class 12 · Mathematics
→On integers, (aRb) is defined when (a\equiv b \pmod{6}). Which statement is correct?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a) and (b) are both prime numbers(}). Is this relation transitive?
Class 12 · Mathematics
→On real numbers, (aRb) is defined when (a^2-b^2=0). Is this relation transitive?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (R={(a,b):a+b\text{ is even and }a\le b}). What is the nature of this relation?
Class 12 · Mathematics
→On (A={1,2,3,4}), relation (R={(a,b):a) is greater than (b)(}). What is the nature of this relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (R={(a,b):a<b\text{ and }a,b\text{ are both odd}}). What is the nature of this relation?
Class 12 · Mathematics
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