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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।

MathematicsIf (x^2=16), what is the value of (x) by square root method?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34EasyMathematicsUsing factorisation method, what are the roots of (x^2-5x+6=0)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34EasyMathematicsWhich of the following quadratic equations has real, distinct, and irrational roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33ExpertMathematicsWhich statement is always correct about x² − (a + 8)x + 8a = 0?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsIf the equation \(x^2-2mx+(m^2-m)=0\) has real roots, what is the correct condition on \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32ExpertMathematicsWhen will the real roots of the quadratic equation \(ax^2+bx+c=0\), where \(a\ne0\), be additive inverses of each other?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33HardMathematicsIf U = {1, 2, ..., 10} and A = {x : x ∈ U and x² − 11x + 30 = 0}, what is A' ∩ {5, 6, 7, 8}?Class 10SetsComplement of a Set and Its PropertiesLevel 10MediumMathematicsIf (\alpha) and (\beta) are roots of (x^2-11x+24=0), what is the value of (\frac{1}{\alpha+1}+\frac{1}{\beta+1})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf (\alpha) and (\beta) are roots of (x^2-5x+5=0), what is the value of (\alpha^2+\beta^2+\alpha\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf a new equation is formed by taking reciprocals of the roots of (x^2-7x+10=0), which monic equation is obtained?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf (\alpha) and (\beta) are roots of (x^2-14x+45=0), what is the value of (\frac{\alpha^2+\beta^2}{\alpha\beta})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf the two roots of the equation \(x^2+kx+49=0\) are equal and negative, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf the smaller root of (x^2-13x+42=0) is (\alpha) and the larger root is (\beta), what is (\beta-\alpha)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-10x+24=0\), what is the value of \((\alpha-2)(\beta-2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsWhich of the following is the correct pair of roots of the quadratic equation \(x^2-(2m+3)x+(m+1)(m+2)=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf (\alpha) and (\beta) are roots of (x^2+2x-2=0), what is the value of (\alpha^2+\alpha\beta+\beta^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf the product of roots of (4x^2-3x+k=0) equals the sum of roots, what is (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf the sum of roots is (6) and the sum of their squares is (52), what is the product of roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf α and β are roots of x^2+4x-21=0, what is the value of |α-β|?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsIf () and () are the roots of (x^2-12x+36=0), what is the value of (-)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard