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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 (\alpha,\beta) are roots of (x^2-4x+2=0), what is ((\alpha+2)(\beta+2))?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\alpha,\beta) are roots of (2x^2+3x-5=0), what is (\alpha^2\beta+\alpha\beta^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\alpha,\beta) are roots of (x^2-7x+10=0), what is (\frac{1}{\alpha-1}+\frac{1}{\beta-1})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\alpha,\beta) are the roots of (x^2+4x+1=0), what is (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf the roots of (3x^2+px+12=0) are in the ratio (1:4), what are the possible values of (p)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\alpha,\beta) are the roots of (x^2-6x+m=0) and (\alpha^3+\beta^3=72), what is (m)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf the roots of (2x^2-5x+m=0) are (\alpha,\beta) and (\alpha^2+\beta^2=\frac{13}{4}), find (m).Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\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 32Hard MathematicsWhat is the sum of reciprocals of the roots of (3x^2-10x+3=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard 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 EquationLevel 32Hard MathematicsIf (\alpha) and (\beta) are roots of (x^2-Sx+P=0), what is (\alpha^2+\beta^2) equal to?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf (\alpha) and (\beta) are roots of (x^2-6x+8=0), what is the value of ((\alpha+1)(\beta+1))?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsWhat is the sum of reciprocals of the roots of (2x^2-7x+3=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf (\alpha) and (\beta) are roots of (x^2-7x+12=0), what is the value of (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf (\alpha) and (\beta) are roots of (4x^2-5x-6=0), what is the value of (\alpha+\beta-2\alpha\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsFor (5x^2-18x+9=0), what are the sum and product of roots respectively?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf the roots are (\alpha) and (\beta) with (\alpha+\beta=8) and (\alpha\beta=15), what is (\alpha^2+\beta^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf (\alpha) and (\beta) are roots of (2x^2-7x+3=0), what is the value of (\alpha+\beta-\alpha\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsFor (3x^2-14x+8=0), what are the sum and product of roots respectively?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIf the roots are (\alpha) and (\beta) with (\alpha+\beta=7) and (\alpha\beta=12), what is (\alpha^2+\beta^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium