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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 (\alpha,\beta) are the roots of (x^2-11x+24=0), what is (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the roots of (3x^2-(4t+2)x+t(t+2)=0) are said to be (t) and (\frac{t+2}{3}), when is this statement true?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf (\alpha,\beta) are the roots of (x^2-3x-10=0), what is ((\alpha-4)(\beta-4))?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf both roots of (x^2-5x+c=0) are real and positive, what is the correct condition on (c)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsWhat is the positive difference between the two roots of \(x^2-2qx+q^2-16=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf (\alpha,\beta) are the roots of (x^2-4x-2=0), what is (\alpha^2+4\beta+\alpha\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the roots of the quadratic equation \(x^2+ax+b=0\) are \(3+\sqrt{2}\) and \(3-\sqrt{2}\), what is the value of \(a+b\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the quadratic equation \(x^2+(m+1)x+16=0\) has equal roots, what are the possible values of \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf (\alpha,\beta) are the roots of (3x^2-8x+4=0), what is (\alpha^3+\beta^3)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsFor the quadratic equation \(9x^2-6(a+1)x+a^2-3a=0\) to have real roots, which condition on \(a\) is necessary?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf (kx^2-10x+k=0) has real reciprocal roots, which condition on (k) is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf (\alpha,\beta) are the roots of (x^2-6x+3=0), what is (\frac{1}{\alpha^2}+\frac{1}{\beta^2})?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsWhich statement is always true for x^2-(a+6)x+6a=0?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the quadratic equation \(x^2-2(a-4)x+a^2-20=0\) has equal roots, what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the positive difference between the roots of (4x^2-12x+m=0) is (1), what is the value of (m)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsLet U = ℝ, A = {x ∈ ℝ : (x - 2)(x + 5) ≤ 0}, and B = {x ∈ ℝ : |x - 1| < 3}. What is (A′ ∩ B)′?Class 10SetsComplement of a Set and Its PropertiesHard MathematicsLet U = {x ∈ ℕ : x ≤ 120}, A = {x ∈ U : 8 divides x}, B = {x ∈ U : 15 divides x}, and C = {x ∈ U : 20 divides x}. What is n((A ∪ B ∪ C)′)?Class 10SetsComplement of a Set and Its PropertiesHard MathematicsLet U = {x ∈ ℕ : x ≤ 90}, A = {x ∈ U : 10 divides x}, and B = {x ∈ U : 18 divides x}. What is n(A′ ∩ B′)?Class 10SetsComplement of a Set and Its PropertiesMedium MathematicsIf the universal set is U = ℝ and A = (-∞, -1] ∪ [6, ∞), what is (A′)′?Class 10SetsComplement of a Set and Its PropertiesEasy MathematicsIf U = {1, 2, ..., 81}, A = {x : x ∈ U, 3 divides x}, and B = {x : x ∈ U, 27 divides x}, how many elements are in B' ∩ A?Class 10SetsComplement of a Set and Its PropertiesHard