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Mathematics

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsFor subsets A and B of a universal set U, which statement correctly represents De Morgan’s law?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf U = R and A = {x | x ≤ 1 or x > 9}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf A − B = ∅, which conclusion is always correct?Class 10SetsComplement of a Set and Its PropertiesLevel 20Easy MathematicsIf U = {1, 2, ..., 25}, A is the set of perfect squares and B is the set of multiples of 5, which element belongs to A' ∩ B'?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {a, b, c, d, e, f, g, i, j, k}, A' = {b, e, i}, and B' = {a, d, j}, what is (A ∪ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, ..., 90}, and A, B, C are respectively the sets of multiples of 2, 3, and 5, what is |(A ∪ B ∪ C)'|?Class 10SetsComplement of a Set and Its PropertiesLevel 20Hard MathematicsIf \(A\cup B=U\), what is the value of \(A'\cap B'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U = R and A = {x : |x − 3| < 5}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsWhat is ((A' ∩ B)') equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf \(U=\{1,2,\ldots,40\}\), \(A\) is the set of prime numbers, and \(B\) is the set of odd numbers, what is \(|A'\cap B|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf \(|U|=150\), \(|A'|=92\), \(|B'|=76\), and \(|A\cap B|=31\), what is \(|(A\cup B)'|\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 20Hard MathematicsIf \(A\subseteq B'\), which of the following relations is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf \(U=\{x:x\in\mathbb{Z},-8\le x\le8\}\) and \(A=\{x:x^2-4x\le0\}\), what is \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Hard MathematicsIf \(U=\{1,2,\ldots,72\}\), \(A\) is the set of multiples of 4, and \(B\) is the set of multiples of 9, what is \(|(A\cup B)'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Hard MathematicsIf the roots of x² + px + 12 = 0 are in the ratio 1:3 and both are negative, what is p?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf α and β are roots of x² − 3x + 2 = 0, which equation has 2α and 2β as roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the difference of roots of (x^2-5x+q=0) is (1), what is the value of (q)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the roots of x² − (a + 1)x + a = 0 are 1 and a, why is this correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf \(U=\mathbb{R}\) and \(A=\{x:-2<x\le6\}\), what is \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(U=\{1,2,\ldots,45\}\), \(A\) is the set of numbers divisible by 3, and \(B\) is the set of numbers divisible by 5, what is \(|(A\cap B)'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium