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Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich of the following trigonometric functions is an even function?Class 12Trigonometric FunctionsTrigonometric functions and their propertiesLevel 70Medium MathematicsIf A = {x ∈ ℤ : 2x + 1 is even}, what is A?Class 12SetsLevel 4Easy MathematicsIs the function (f:\mathbb{Z}\to\mathbb{Z}), where (f(n)=2n+1), onto or not?Class 12Relations and FunctionsReflexive relationLevel 27Expert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=2n+1), why is (f) not onto?Class 12Relations and FunctionsOnto functionLevel 26Expert MathematicsWhy is (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=2n+1), not onto?Class 12Relations and FunctionsOnto functionLevel 25Expert MathematicsFor (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=2n+1), what is the onto status?Class 12Relations and FunctionsOnto functionLevel 26Hard MathematicsIf (f:{2,4,6}\to{0,1}), where (f(n)=0) when (n) is even and (f(n)=1) when (n) is odd, why is (f) not onto?Class 12Relations and FunctionsOnto functionLevel 27Easy MathematicsIf (f:{1,3,5}\to{0,1}), where (f(n)) is (0) when (n) is even and (1) when (n) is odd, why is (f) not onto?Class 12Relations and FunctionsOnto functionLevel 26Easy MathematicsIf (f:\mathbb{N}\to\mathbb{N}), (f(n)=n+(-1)^n), is (f) one-one?Class 12Relations and FunctionsOne-one functionLevel 23Hard MathematicsOn (A=\mathbb{Z}), (aRb) if (a-b) is even. What is true about ([1]) and ([2])?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn integers, (aRb) if (a+b) is divisible by (2). Which statement is correct?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn (A={1,2,3,4,5,6,7}), (aRb) if (a-b) is divisible by (2). What are the equivalence classes of (R)?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) if (a) and (b) leave the same remainder when divided by (2). How many ordered pairs are in the relation?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsIf (R={(a,b):a+b\text{ is even}}) is defined on the set of integers, which statement about (R) is correct?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (a) and (b) are both multiples of (2) or both not multiples of (2). Which is the equivalence class of (5)?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (a+b) is divisible by (2). What are the equivalence classes of this relation?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|\text{ is even}}). What is the equivalence class of (4)?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn integers, (aRb) if and only if (a+b) is even. Which of the following statements is correct?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a^2+b^2) is even. What are the equivalence classes of this relation?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsOn integers, (aRb) holds when one of (a) and (b) is even and the other is odd. Why is it not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18Medium