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Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if (a-b) is even. How many ordered pairs will the relation contain?
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if (a=b) or ({a,b}={1,3}). What type of relation is it?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if and only if both (a) and (b) are divisible by (2), or both are not divisible by (2). What is the equivalence class of (4)?
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a=b) or (a=-b). Choose the correct conclusion.
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a+b=0). What is the correct type of the relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if the greatest common divisor of (a) and (b) is (1). Choose the correct statement.
Class 12 · Mathematics
→On (A={1,2,3,4}), what is the smallest symmetric extension of (R={(1,2),(2,1),(3,4)})?
Class 12 · Mathematics
→On (A={1,2,3,4}), how many pairs will the transitive closure of (R={(1,2),(2,3),(3,4)}) contain?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). Which self-pairs are forced in the transitive closure of (R)?
Class 12 · Mathematics
→If (R) and (S) are equivalence relations, which statement is correct for (R\cup S)?
Class 12 · Mathematics
→If (R) and (S) are equivalence relations, which statement about (R\cap S) is correct?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (a) is at least (2) less than (b). Choose the correct conclusion.
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(2,4),(1,4)}). Choose the correct statement.
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if and only if (a=b) or (a+b=6). Choose the correct equivalence classes.
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if and only if (a) and (b) have the same remainder when divided by (3). How many equivalence classes are formed?
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a^2+b^2=0). Choose the correct classification.
Class 12 · Mathematics
→On real numbers, (aRb) if and only if (a^2\le b^2). What type of relation is it?
Class 12 · Mathematics
→If (A) has (n) elements, what is the number of relations in which self-pairs are unrestricted and distinct-element pairs are chosen symmetrically?
Class 12 · Mathematics
→If (A) has (6) elements, how many relations on (A) are both reflexive and symmetric?
Class 12 · Mathematics
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