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Class 10 Mcq

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

MathematicsIs x = 3 a root of the equation x² − 7x + 12 = 0?Class 10Quadratic EquationsRoots of a Quadratic EquationMedium MathematicsIf (p(r)=0) for a quadratic polynomial (p(x)), which statement about (r) is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationMedium MathematicsWith respect to a universal set, which relation holds between a set and its complement?Class 10SetsComplement of a Set and Its PropertiesEasy 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 PropertiesEasy 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 PropertiesEasy 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 PropertiesEasy 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 PropertiesEasy MathematicsIf A⊆U and Aᶜ={x∈U: x∉A}, why is A∩Aᶜ empty?Class 10SetsComplement of a Set and Its PropertiesEasy 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 PropertiesMedium 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 PropertiesMedium 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 PropertiesEasy 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 PropertiesMedium 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 PropertiesMedium 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 PropertiesMedium 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 PropertiesMedium 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 PropertiesMedium 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 PropertiesMedium MathematicsIf U changes but A remains the same, which statement about Aᶜ is correct?Class 10SetsComplement of a Set and Its PropertiesMedium MathematicsIf U = {1,2,3,4,5,6} and A is a set such that A = Aᶜ, which statement is correct?Class 10SetsComplement of a Set and Its PropertiesMedium MathematicsFrom the statements A ∩ Aᶜ = ∅ and A ∪ Aᶜ = U, which conclusion follows?Class 10SetsComplement of a Set and Its PropertiesMedium