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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।

MathematicsIf (A \ B = {2, 5}), (B \ A = {7}), and (A ∩ B = {1, 3}), then what is (A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Medium MathematicsIf A ∩ B = ∅, n(A) = 21, and n(B) = 17, what is the value of n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Easy MathematicsIf A = {1, 3, 5, 7, 9}, B = {3, 6, 9}, and C = {1, 2, 3, 4}, what is (A ∪ B) \ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Medium MathematicsIf A = {1, 2, 3, 4, 5}, B = {2, 4, 6}, and C = {1, 4, 7}, what is A ∩ (B ∪ C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Easy MathematicsIf A = {x ∈ R : −1 < x ≤ 5} and B = {x ∈ R : 2 ≤ x < 7}, then what is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Medium MathematicsIf A = {x ∈ R : x² ≤ 16} and B = {x ∈ R : x > 1}, what is the interval form of A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Medium MathematicsIf A = {x ∈ R | x² − 5x + 6 = 0} and B = {x ∈ R | x² − 4x + 3 = 0}, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Medium MathematicsIf U = {1, 2, ..., 30}, A = {x : x ∈ U, 2 divides x}, and B = {x : x ∈ U, 5 divides x}, then what is n(A \ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Medium MathematicsIn a survey of 90 people, 52 like tea, 47 like coffee, and 19 like both tea and coffee. How many people like neither tea nor coffee?Class 10SetsOperations on Sets (Union, Intersection, Difference)Medium MathematicsIn a class of 64 students, 38 study Mathematics, 32 study Physics, and 20 study both subjects. How many students study exactly one subject?Class 10SetsOperations on Sets (Union, Intersection, Difference)Medium MathematicsIf α and β are roots of x² + 3x − 18 = 0, what is αβ − α − β?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2+2x-8=0\), what is the value of \((\alpha+\beta)^2\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsA right triangle has a base of \((x+1)\) units, a height of \((x+3)\) units, and an area of \(30\) square units. Which quadratic equation is obtained from this condition?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsWhich of the following is a quadratic equation in x but is not written in standard form?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsThe roots of the equation \(x^2-4x+1=0\) are \(\alpha\) and \(\beta\). What is the value of \(\alpha+\beta+\alpha\beta\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsIf \(x=1\) is a root of the quadratic equation \(x^2+(2k-1)x+k=0\), what is the value of \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsWhat is the standard form of ((x-1)^2+(x-2)^2=(x-3)^2)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsIf \\(a=-1\\) is substituted in the equation \\((a+1)x^2+(a^2-1)x+2=0\\), what type of result is obtained?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsWhich of the following quadratic equations has one root \(x=0\) and the other root positive?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsIf the roots of \\(x^2+bx+c=0\\) are \\(-2\\) and \\(7\\), what is the value of \\(b+c\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard