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Class 12 · Mathematics
→If (R) is symmetric and (R\subseteq S), which statement about (S) is correct?
Class 12 · Mathematics
→If a symmetric relation on (A={1,2,3,4}) contains ((1,2),(2,1),(3,4),(4,3)) and no other off-diagonal pairs, how many off-diagonal pair groups are there?
Class 12 · Mathematics
→If (R={(a,b):|a-b|<5}) is defined on real numbers, what is true about (R)?
Class 12 · Mathematics
→If (R={(a,b):\max(a,b)=\max(b,a)}) is defined on real numbers, what is true about (R)?
Class 12 · Mathematics
→If (R={(a,b):\min(a,b)=a}) is defined on real numbers, what is true about (R)?
Class 12 · Mathematics
→If a symmetric relation on (A={1,2,3,4,5}) has exactly (3) off-diagonal pair groups and exactly (2) diagonal pairs, how many ordered pairs are there in total?
Class 12 · Mathematics
→If (R=A\times A), which statement about (R) is correct?
Class 12 · Mathematics
→If (R=\varnothing) is a relation on any set (A), what is true about (R)?
Class 12 · Mathematics
→If (R) is symmetric, what is true about (R^3=R\circ R\circ R)?
Class 12 · Mathematics
→If (R) is symmetric and (R^2=R\circ R), which statement about (R^2) is correct?
Class 12 · Mathematics
→If (R={(x,y):x=2y}) is defined on real numbers, (R) is not symmetric. Which counterexample is correct?
Class 12 · Mathematics
→If (R={(x,y):xy>0}) is defined on real numbers, which statement is correct about (R)?
Class 12 · Mathematics
→If a relation on (A={1,2,3,4}) is both symmetric and antisymmetric, how many such relations are possible?
Class 12 · Mathematics
→If (R) is both symmetric and antisymmetric, what is true about the off-diagonal pairs of (R)?
Class 12 · Mathematics
→If (R) is symmetric and transitive and ((a,b)\in R), which pair must definitely belong to (R)?
Class 12 · Mathematics
→If (R) is symmetric and has no diagonal pair, which statement is correct?
Class 12 · Mathematics
→If (R) is symmetric on a set (A), what is true about (R\cap\Delta), where (\Delta={(a,a):a\in A})?
Class 12 · Mathematics
→If (R) and (S) are symmetric, what is true about (R\triangle S), where (R\triangle S=(R-S)\cup(S-R))?
Class 12 · Mathematics
→If (R) is symmetric on (A={1,2,3}) and contains exactly one diagonal pair and exactly two off-diagonal ordered pairs, how many such relations are possible?
Class 12 · Mathematics
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