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Class 12 Mathematics के इस tag से जुड़े questions।
Class 12 · Mathematics
→If R is an equivalence relation on a set A, which statement about its equivalence classes is correct?
Class 12 · Mathematics
→On A = {1,2,3,4}, let R = {(a,b) : a^2 = b^2}. What type of relation is R?
Class 12 · Mathematics
→On A = {1,2,3,4,5}, R = {(1,2), (2,3), (4,5)}. How many ordered pairs are in the smallest equivalence relation containing R?
Class 12 · Mathematics
→How many equivalence relations on a 4-element set have exactly 2 equivalence classes?
Class 12 · Mathematics
→On A = {1,2,3,4,5}, for aRb when a ≡ b (mod 3), what is the equivalence class [2]?
Class 12 · Mathematics
→If R = {(1, 2), (2, 4), (1, 4)}, which pair is required in the transitive check?
Class 12 · Mathematics
→If R={(1,1),(1,2),(2,2)}, which pair is required from (1,2) and (2,2) in a transitive check?
Class 12 · Mathematics
→If A={1,2,3} and R={(1,2),(2,3),(1,3)}, which fact shows the transitive property?
Class 12 · Mathematics
→If \(A=\{1,2,3\}\), \(B=\{1,2,3,4\}\), and \(R=\{(x,y)\in A\times B:y=x+2\}\), what is \(R\)?
Class 12 · Mathematics
→If (A={1,2,3,4}) and (B={p,q,r}), which of the following functions (A\to B) is onto?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), (aRb) if (\gcd(a,6)=\gcd(b,6)). What is the equivalence class of (4)?
Class 12 · Mathematics
→Which of the following relations is a function?
Class 12 · Mathematics
→What type of function is (f:R\to R), (f(x)=2)?
Class 12 · Mathematics
→If (f(x)=\frac{x+1}{2}), what is (f(7))?
Class 12 · Mathematics
→Which of the following relations from (A={1,2}) to (B={3,4}) is a function?
Class 12 · Mathematics
→On all real numbers, (aRb) if and only if (|a|<|b|). Why is this not an equivalence relation?
Class 12 · Mathematics
→If (R) is an equivalence relation on a set (A) and ([a]\subseteq[b]), what conclusion is definite?
Class 12 · Mathematics
→On (A={1,2,3,4}), (aRb) if and only if (a+b) is prime. Why is this not an equivalence relation?
Class 12 · Mathematics
→On the set of all polynomials, (pRq) if and only if (p(1)=q(1)). By which condition is the equivalence class of (p(x)=x^2+x) formed?
Class 12 · Mathematics
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