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Relations And Functions

Class 12 Mathematics के इस tag से जुड़े questions।

Class 12 · Mathematics

On A = {1,2,3}, let R = {(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}. Which pair or pairs must be added to make R an equivalence relation?

Class 12 · Mathematics

If R = {(a,b) ∈ A × A : a = b}, what is R called?

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 \(B=\{1,3,5,7\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(y=2x-1\)?

Class 12 · Mathematics

If A = {x ∈ R : 2x − 1 ≥ 5}, what is the interval form of A?

Class 12 · Mathematics

On the set (\mathbb{R}\setminus{-1}), the operation (a*b=a+b+ab) is defined. What is the identity element for this operation?

Class 12 · Mathematics

On the set (A=\mathbb{R}\setminus{-1}), the operation (a*b=a+b+ab) is defined. If (x) is the inverse of (5), what is the value of (x*2)?

Class 12 · Mathematics

On the set of real numbers, the operation (a*b=a+b+ab) is defined. If (a\neq -1), what will be the inverse of (2)?

Class 12 · Mathematics

On the set (A=\mathbb{R}\setminus{-1}), the operation (a*b=a+b+ab) is defined. What is the identity element?

Class 12 · Mathematics

If a * b = a − b, what is the value of 5 * (2 * 1)?

Class 12 · Mathematics

On the set (A={1,2,3}), an operation (\ast) is defined by (a\ast b=a). Is it a binary operation?

Class 12 · Mathematics

Which of the following functions \(f:\mathbb{R}\to\mathbb{R}\) is onto?