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

MathematicsWhat is the nature of the roots of 4x² − 12x + 9 = 0?Class 10Quadratic EquationsNature of RootsLevel 31Medium MathematicsFor 2x² − 9x + 4 = 0, what are the sum and product of the roots respectively?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf 2 is a root of x² + kx − 14 = 0, what is the value of k?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Easy MathematicsWith respect to a universal set, which relation holds between a set and its complement?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf the universal set is \(U=\{1,2,3,4,5,6,7,8\}\), \(A=\{1,2,3,4\}\), and \(B=\{5,6,7,8\}\), what is \((A\cup B)^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf the universal set is \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{2,4,6,8,10\}\), and \(B=A^c\), what is the value of \(A\cap B\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf the universal set is \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,3,5,7,9\}\), and \(B=A^c\), what is the value of \(A\cup B\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsWhich of the following is the correct De Morgan’s law for complements of two sets with respect to the universal set?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U={1,2,3,4,5,6,7,8} and A={1,2,3}, which of the following is not the complement of A?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf A⊆U and Aᶜ={x∈U: x∉A}, why is A∩Aᶜ empty?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf U has n(U)=54 and a set A satisfies n(Aᶜ)=2n(A), what is the value of n(A)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsFor a finite universal set U, n(U)=64 and n(A)=3n(Aᶜ). What is the value of n(Aᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U={1,2,3,4,5,6,7,8,9,10} and Aᶜ={1,4,9}, how many elements does A contain?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIn the universal set U={1,2,3,4,5,6,7,8}, let A={1,2,3} and B={4,5}. Find Aᶜ∩Bᶜ.Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U={1,2,3,4,5,6,7,8,9,10,11,12}, A={1,2,3,4,5,6}, and B={2,4,6,8,10,12}, how many elements does Aᶜ∪Bᶜ contain?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsLet U={x∈N: 1≤x≤18}, A={x: x is divisible by 3}, and B={x: x is even}. How many elements are in Aᶜ∩Bᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIn the universal set U={1,2,3,4,5,6,7,8,9}, let A={2,4,6,8} and B={1,2,3,4}. If all complements are taken with respect to U, what is (Aᶜ∪B)ᶜ?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the universal set is \(U=\{1,2,3,4,5,6,7,8,9,10\}\), \(A=\{1,2,3,4\}\), and \(B=\{3,4,5,6\}\), what is the value of \((A^c\cap B)^c\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsLet \(U_1=\{1,2,3,4\}\), \(U_2=\{1,2,3,4,5,6\}\), and \(A=\{1,2\}\). What is the set difference between the complement of \(A\) relative to \(U_2\) and the complement of \(A\) relative to \(U_1\), taking the former difference from the latter?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U changes but A remains the same, which statement about Aᶜ is correct?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium