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Class 12 · Mathematics
→For a five-element set A, how many symmetric relations on A contain no diagonal ordered pair (a,a)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if (a+b) is divisible by (3). Choose the correct classification.
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a^2+b^2=0). Choose the correct statement.
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3)}). Which property fails?
Class 12 · Mathematics
→On (A={1,2,3,4}), the relation (R={(a,b):a+b) is a perfect square(}) is given. Choose the correct classification.
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a-b=1). What type of relation is it?
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (|a-b|<1). Choose the correct statement.
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (ab\ge0). What type of relation is it?
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (ab>0). Choose the correct classification.
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if both (a) and (b) are less than (3). Choose the correct statement.
Class 12 · Mathematics
→Which relation on A={1,2,3} is symmetric but not transitive?
Class 12 · Mathematics
→Which relation on (A={1,2,3,4}) is reflexive only, but neither symmetric nor transitive?
Class 12 · Mathematics
→If (A) has (n) elements, what is the number of relations on (A) that are both reflexive and symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(1,3),(3,1)}). Choose the correct statement.
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (a+b) is odd. Choose the correct classification.
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (a) is a multiple of (b). What type of relation is it?
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if both (a) and (b) are prime numbers. Choose the correct statement.
Class 12 · Mathematics
→On (A={1,2,3}), which minimum pair must be added to (R={(1,2),(2,1),(2,3)}) to make it symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if (|a-b|=2). What type of relation is it?
Class 12 · Mathematics
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