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Symmetric Relation

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsHow many symmetric relations are there on a set with (5) elements?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsIf the directed graph of a relation shows a reverse arrow for every arrow, what type of relation is it?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\text{ is odd}}). How many ordered pairs are in (R)?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b=6}). How many pairs are in (R), and is it symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsWhich condition most clearly gives a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsIf (R) is symmetric and ((q,p)\notin R), what conclusion is correct about ((p,q))?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsIf (R) is symmetric and ((p,q)\notin R), which conclusion is always correct?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsWhich statement is correct about the identity relation (I_A={(a,a):a\in A})?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsWhy is the universal relation (A\times A) symmetric on a set (A)?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsWhy is the empty relation ∅ considered symmetric on any set A?Class 12Relations and FunctionsSymmetric relationLevel 12HardMathematicsOn integers, (R={(a,b):a-b\equiv 0 \pmod{5}}). Why is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsOn integers, (R={(a,b):a+b\equiv 0 \pmod{3}}). Which statement is correct for (R)?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsOn real numbers, the relation (R={(a,b):a^2=b^2}) is given. Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsOn A={1,2,3,4}, R={(a,b): |a-b|=1}. What type is R?Class 12Relations and FunctionsSymmetric relationLevel 11MediumMathematicsFor every symmetric relation (R), will (R\circ R) also be symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). Will ((1,3)) belong to (R\circ R)?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsIf (R) is symmetric, which statement is always true about (R\setminus S)?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsIf (R) and (S) are both symmetric relations on (A), which statement is true about (R\cup S)?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsIf (R) and (S) are both symmetric relations on (A), what is true about (R\cap S)?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsOn A={1,2,3}, R={(1,1),(2,2),(3,3),(1,2),(2,1)}. Which statement is correct?Class 12Relations and FunctionsSymmetric relationLevel 11Medium