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Class 11 · Mathematics
→Which function has a graph symmetric about the \(y\)-axis?
Class 11 · Mathematics
→The graph of (f(x)=|x|) is symmetric about which axis?
Class 11 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a+b\leq6}). Choose the correct option about (R).
Class 11 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}). Is (R) antisymmetric?
Class 11 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,3)}). Which pairs will be added in the symmetric closure?
Class 11 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if (a\neq b). Which statement about (R) is correct?
Class 11 · Mathematics
→On (\mathbb{N}), (aRb) if and only if (a+b) is odd. What is the correct statement about (R)?
Class 11 · Mathematics
→If (R) is symmetric, what is its relation with (R^{-1})?
Class 11 · Mathematics
→If a relation (R) is both symmetric and antisymmetric, which off-diagonal pairs can occur in (R)?
Class 11 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). Which property is false?
Class 11 · Mathematics
→For A = {1,2,3,4}, let R = {(a,b) : a+b=5}. What is the correct statement about R?
Class 11 · Mathematics
→On (A={2,3,4,5,6}), (aRb) if and only if (a+b) is prime. Which property is surely true for (R)?
Class 11 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if and only if (\gcd(a,b)=1). Choose the correct option about (R).
Class 11 · Mathematics
→For (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). What is the correct conclusion about (R)?
Class 11 · Mathematics
→On (A={1,2,3}), relation (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}) is given. Which minimum ordered pair must be added to make (R) symmetric?
Class 11 · Mathematics
→A set (A) has (5) elements. How many relations on (A) are both reflexive and symmetric?
Class 11 · Mathematics
→The number of symmetric relations on (A={1,2,3,4}) is equal to which expression?
Class 11 · Mathematics
→How many symmetric relations are possible on A = {1,2,3}?
Class 11 · Mathematics
→If set (A) has (5) elements, how many relations on (A) are both reflexive and symmetric?
Class 11 · Mathematics
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