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Class 12 · Mathematics
→Which relation on (\mathbb{R}) is symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,1),(3,4)}). What must be done to make (R) symmetric?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,3),(3,1)}). What is the minimum number of pairs to add to make (R) symmetric?
Class 12 · Mathematics
→If (M) is the matrix of a relation (R), what is the correct matrix condition for (R) to be symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4}), how many symmetric relations contain ((1,2)) but not ((2,1))?
Class 12 · Mathematics
→On (A={1,2,3,4}), how many symmetric relations must contain both ((1,2)) and ((3,4))?
Class 12 · Mathematics
→If (A) has (6) elements, how many symmetric relations are there on (A)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a^2+b^2=10}). What type of relation is (R)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+2b=6}). Is (R) symmetric?
Class 12 · Mathematics
→On a set (A), (R={(a,b):a+b=ab}). What is the correct reason for (R) being symmetric?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a-b\text{ is odd}}). What is (R)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a-b\text{ is even}}). Choose the correct statement about (R).
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):|a-b|\text{ is even}}). What is (R)?
Class 12 · Mathematics
→If (R) and (S) are symmetric, is (R-S) always symmetric?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,1)}) and (S={(2,3),(3,2)}). What is correct about (R\cup S)?
Class 12 · Mathematics
→If (R) is symmetric, which statement about (A\times A-R) is correct?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a\leq b}). Why is (R) not symmetric?
Class 12 · Mathematics
→On A = {1,2,3,4}, let R = {(a,b) : a + b ≤ 5}. Is R symmetric?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(a,b):a^2=b^2}). What type of relation is (R)?
Class 12 · Mathematics
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