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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 c(\alphac) and c(\betac) are the roots of the equation c(x^2-6x+2=0c), what is the value of c(\alpha^2+\beta^2c)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-8x+12=0\), what is the value of \((\alpha+2)(\beta+2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-10x+21=0\), what is the value of \(\alpha^3+\beta^3\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-2x-8=0\), what is the value of \(\left(\alpha+3\right)\left(\beta+3\right)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-6x+8=0\), what is the value of \(\alpha^2\beta^2\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsWhich pair gives the roots of the equation \(x^2-(2m+1)x+m(m+1)=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf alpha and beta are the roots of the equation x^2-4x+1=0, what is the value of alpha^2+beta^2?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsWhat is the sum of the squares of the roots of the equation \(x^2-9x+14=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat is the sum of the squares of the roots of the equation \(x^2-7x+10=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsWhat is the sum of the squares of the roots of \(x^2-6x+5=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf \\(x+a\\)^2=x^2+18x+81 is an identity, what is the value of \\(a\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf \\(x+a\\)^2 = x^2 - 12x + 36 holds for all real x, what is the value of a?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsWhen the equation (x-2)^2+(2x+1)^2=25 is written in the standard quadratic form ax^2+bx+c=0, which form is obtained?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhich of the following is the perfect-square form of the equation \(x^2-18x+81=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsIf x = √5 + √3, then what type of number is x²?Class 10PolynomialsIrrational numbers and real numbersLevel 28Medium MathematicsIf x = √2 + √3, what is the correct form of x²?Class 10PolynomialsIrrational numbers and real numbersLevel 26Medium