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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।

MathematicsIf α and β are roots of x^2 - 9x + 20 = 0, what can be the value of (α + β)/(α - β)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf α and β are roots of x² + 4x − 21 = 0, what is the value of |α − β|?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsIf α and β are roots of x^2-4x+3=0, which equation has 3α and 3β as roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf the difference between the roots of x² - 7x + q = 0 is 1, what is the value of q?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf the roots of x² + px + 25 = 0 are equal and both negative, what is the value of p?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsIf roots of x² − (a+2)x + 2a = 0 are 2 and a, which reason is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsIf U = {1, 2, …, 84}, A = {x : x is divisible by 6}, and B = {x : x is divisible by 14}, what is |(A ∩ B)′|?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf U = ℝ and A = {x : −3 ≤ x < 4 or 7 < x ≤ 10}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf U = {1, 2, …, 36}, A = {x : x is divisible by 2}, and B = {x : x is divisible by 3}, what is |A′ ∩ B′|?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIf A and B are subsets of a universal set U and A is a subset of B, which of the following statements is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 20MediumMathematicsIn a class of 80 students, 46 play cricket, 38 play football, and 20 play both. How many students play neither game?Class 10SetsComplement of a Set and Its PropertiesLevel 10MediumMathematicsIf U = ℝ and A = {x : x² − 2x − 8 ≤ 0}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 10HardMathematicsLet U = {1, 2, ..., 21} and A = {x : x is divisible by 3}. How many odd elements are there in A′, the complement of A in U?Class 10SetsComplement of a Set and Its PropertiesLevel 10EasyMathematicsLet U = {1,2,...,55}, A = {x ∈ U : x is divisible by 5}, and B = {x ∈ U : x is divisible by 11}. What is |A' ∩ B'|?Class 10SetsComplement of a Set and Its PropertiesLevel 10HardMathematicsIf A' ∪ B' = U, what conclusion is correct about A ∩ B?Class 10SetsComplement of a Set and Its PropertiesLevel 10MediumMathematicsIf U = ℝ and A = {x : 0 < x < 2 or 5 ≤ x < 9}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 10MediumMathematicsIf U = {1,2,...,14}, A = {1,3,5,7,9,11,13} and B = {2,3,5,7,11,13}, what is A' ∩ B'?Class 10SetsComplement of a Set and Its PropertiesLevel 10MediumMathematicsIf A ∩ B = ∅, what is (A ∪ B)' equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 10EasyMathematicsIf U = {1,2,...,30}, A = {x : x is a multiple of 2}, and B = {x : x is a multiple of 3}, what is the smallest element of (A ∪ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 10MediumMathematicsIf U = ℝ, A = (1,4] and B = [4,7), what is (A ∪ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium

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