Search questions
Use text search or combine filters to find exactly the questions you need.
Class 12 · Mathematics
→On the set (A={1,2,3,4}), relation (R) is defined by (aRb) when (a) and (b) are both even or both odd. What type of relation is (R)?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(2,3),(3,2)}) is given. What type of relation is this?
Class 12 · Mathematics
→On the set (A={1,2,3,4,5,6}), relation (R) is defined by (aRb) when (a) and (b) give the same remainder on division by (3). Which is the equivalence class of (1)?
Class 12 · Mathematics
→Which method is the most correct for checking an equivalence relation?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) when (a) and (b) give the same remainder on division by (2). What is the equivalence class of (4)?
Class 12 · Mathematics
→If (R) is reflexive, symmetric, and transitive, what is (R) called?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R) forms two classes ({1,2}) and ({3,4}). Which pair will not belong to (R)?
Class 12 · Mathematics
→If (R) is an equivalence relation, what does ([a]) usually mean?
Class 12 · Mathematics
→On real numbers, (aRb) when (a-b=0). What type of relation is (R)?
Class 12 · Mathematics
→On (A={1,2,3}), (aRb) when (a<b). Why is it not an equivalence relation?
Class 12 · Mathematics
→On (A={1,2,3}), (aRb) when (a\le b). Why is it not an equivalence relation?
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) when (a+b) is odd. Why is it not an equivalence relation?
Class 12 · Mathematics
→On integers, (aRb) when (a-b) is divisible by (5). Which statement about (R) is correct?
Class 12 · Mathematics
→If (R) is an equivalence relation and (aRb), what is correct about the equivalence classes of (a) and (b)?
Class 12 · Mathematics
→If a relation divides a set into the classes ({a,b}) and ({c}), which pairs must be present?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(2,3),(3,2)}). What relation is this?
Class 12 · Mathematics
→If (A={}) and (R={}), which statement about (R) is correct?
Class 12 · Mathematics
→On (A={1,2,3}), the empty relation (R={}) is given. Is it an equivalence relation?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2)}). Why is it not an equivalence relation?
Class 12 · Mathematics
→