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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 the equation \(kx^2-8x+16=0\) has equal roots and \(k\ne0\), what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the two roots of the quadratic equation \(x^2-6x+k=0\) are real and equal, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf α and β are the roots of x² − 10x + 21 = 0, what is the value of α³ + β³?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsWhat is the sum of reciprocals of the roots of (3x^2-10x+3=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the roots of the equation \(x^2+px+q=0\) are \(-3\) and \(-4\), what is the value of \(p+q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the roots of x² − (m + 3)x + 18 = 0 are 3 and 6, what is the value of m?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf 3 and 5 are the roots of the equation \(ax^2+bx+15=0\), what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsWhat is the positive difference between the roots of the equation x² − 2kx + (k² − 4) = 0?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (\alpha) and (\beta) are roots of (x^2-9x+20=0), what is the value of ((\alpha-\beta)^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (\alpha) and (\beta) are roots of (x^2-8x+15=0), what is the value of (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf 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 PropertiesMedium MathematicsIf U = ℝ and A = {x : −3 ≤ x < 4 or 7 < x ≤ 10}, what is A′?Class 10SetsComplement of a Set and Its PropertiesMedium MathematicsIf 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 PropertiesMedium MathematicsIf 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 PropertiesMedium MathematicsIn 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 PropertiesMedium MathematicsIf U = ℝ and A = {x : x² − 2x − 8 ≤ 0}, what is A'?Class 10SetsComplement of a Set and Its PropertiesHard MathematicsLet 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 PropertiesEasy MathematicsLet 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 PropertiesHard MathematicsIf A' ∪ B' = U, what conclusion is correct about A ∩ B?Class 10SetsComplement of a Set and Its PropertiesMedium MathematicsIf U = ℝ and A = {x : 0 < x < 2 or 5 ≤ x < 9}, what is A'?Class 10SetsComplement of a Set and Its PropertiesMedium