Search questions
Use text search or combine filters to find exactly the questions you need.
Class 12 · Mathematics
→If (R) is an equivalence relation and ([a]\setminus[b]\neq\varnothing), which conclusion is correct?
Class 12 · Mathematics
→If (R) is an equivalence relation and (aRb), what is ([a]\setminus[b])?
Class 12 · Mathematics
→For points in the plane, ((x_1,y_1)R(x_2,y_2)) holds when (x_1-y_1=x_2-y_2). What form do the equivalence classes have?
Class 12 · Mathematics
→For points in the plane, ((x_1,y_1)R(x_2,y_2)) holds when (x_1+y_1=x_2+y_2). Which is the equivalence class of ((2,-1))?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6,7,8,9}), (aRb) holds when (a) and (b) have the same greatest common divisor with (9). Which is the equivalence class of (6)?
Class 12 · Mathematics
→On the integers, aRb when a-b is divisible by 5, and aSc when a-c is divisible by 10. What is R∪S equal to?
Class 12 · Mathematics
→On integers, (aRb) holds when (a-b) is divisible by (5), and (aSc) holds when (a-c) is divisible by (10). What is (R\cap S) equal to?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), relation (R) has classes ({1,2,3},{4,5},{6}). How many ordered pairs are not in (R)?
Class 12 · Mathematics
→If (R) and (S) are equivalence relations on (A) and (R\subseteq S), which statement is always true?
Class 12 · Mathematics
→How many equivalence relations on (A={1,2,3,4,5}) have (1) and (2) in the same class, but (3) not in that class?
Class 12 · Mathematics
→How many equivalence relations on (A={1,2,3,4,5}) have (1) alone in its own class?
Class 12 · Mathematics
→If (A) has (5) elements, how many equivalence relations are possible on (A)?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6,7,8,9}), (aRb) holds when the digit sums of (a) and (b) give the same remainder modulo (3). Which is the equivalence class of (8)?
Class 12 · Mathematics
→On real numbers, (aRb) holds when (|a-1|=|b-1|). Which is the equivalence class of (-2)?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6,7,8}), (aRb) holds when (a) and (b) have the same status of divisibility by (3) and by (4). Which is the equivalence class of (8)?
Class 12 · Mathematics
→If (R) is an equivalence relation and ([a]\subseteq [b]\cup[c]), with ([a]\cap[b]\neq\varnothing), which conclusion is correct?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6,7,8,9,10}), how many equivalence classes are formed by the relation (\tau(a)=\tau(b))?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6,7,8,9,10}), (aRb) holds when (\tau(a)=\tau(b)), where (\tau(n)) is the number of positive divisors. Which is the equivalence class of (6)?
Class 12 · Mathematics
→On real numbers, (aRb) holds when (\cos a=\cos b). Which is the correct form of the equivalence class of (0)?
Class 12 · Mathematics
→