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Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if both (a) and (b) are even. What type of relation is it?
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a-b) is irrational. Choose the correct classification.
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (a+b=6). Choose the correct statement.
Class 12 · Mathematics
→On integers, (aRb) if and only if (a-b) is divisible by (5). What type of relation is it?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}). Which property fails?
Class 12 · Mathematics
→On (A={1,2,3,4}), the relation (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(1,3)}) is given. Choose the correct classification.
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)}). Choose the correct conclusion.
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if (a=b) or (a+b) is even. What type of relation is it?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (|a-b|\le 1). Choose the correct statement.
Class 12 · Mathematics
→What is the correct conclusion about (R={(a,b):a=b\text{ or }a+b=5}) on (A={1,2,3,4})?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a=b\text{ or }a+b=5}). Choose the correct statement.
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if and only if (a) and (b) have the same parity. What are its equivalence classes?
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if (a) and (b) have the same remainder when divided by (2). What type of relation is it?
Class 12 · Mathematics
→Which of the following relations on (A={1,2,3}) is an equivalence relation?
Class 12 · Mathematics
→If a relation is reflexive and transitive, is it always symmetric? Choose the correct option.
Class 12 · Mathematics
→If a relation is reflexive and symmetric, is it always transitive? Choose the correct option.
Class 12 · Mathematics
→If a relation is symmetric and transitive, is it always reflexive? Choose the correct option.
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,4),(4,3)}). What type of relation is it?
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if (a-b) is divisible by (2). Choose the correct statement.
Class 12 · Mathematics
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