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Class 12 · Mathematics
→A relation (R) on a set is symmetric. What is correct about its inverse relation (R^{-1})?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(1,2),(2,2),(2,3),(1,3),(3,3)}). Choose the correct conclusion.
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a+b=0). Choose the correct statement.
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if both (a) and (b) are less than (5). Choose the correct classification.
Class 12 · Mathematics
→Let R be an equivalence relation on A and let [a] and [b] denote equivalence classes. If aRb, which statement must be true?
Class 12 · Mathematics
→If (R) is an equivalence relation on a set and (aRb), which statement is necessarily true?
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if (a=b) or (|a-b|=1). Choose the correct statement.
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (a) is at least (2) less than (b). What type of relation is it?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(1,2),(2,1)}). 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),(2,4),(4,2)}). Choose the correct statement.
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if and only if both (a) and (b) are multiples of (3), or both are not multiples of (3). What are the equivalence classes?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if and only if both (a) and (b) are multiples of (3), or both are not multiples of (3). What type of relation is it?
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a-b\ge0). Choose the correct conclusion.
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a=b) or (a=-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 not greater than (4). Choose the correct statement.
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}). What type of relation is it?
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)}). What are its equivalence classes?
Class 12 · Mathematics
→If (A) has (5) elements, how many relations on (A) are both reflexive and symmetric?
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
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