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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 2 is subtracted from each root of the equation \(x^2-6x-16=0\), what is the product of the resulting roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf 1 is added to each root of the equation \(x^2-6x-16=0\), which monic equation is formed from the resulting roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf (\alpha) and (\beta) are roots of (x^2-Sx+P=0), what is ((\alpha-\beta)^2) equal to?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf the difference between the roots of x² - 7x + q = 0 is 1, what is the value of q?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf one root of (x^2+ax+a=0) is (2), what will be the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf (\alpha) and (\beta) are roots of (3x^2-8x+4=0), what is the value of (\frac{1}{\alpha^2}+\frac{1}{\beta^2})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf (\alpha) and (\beta) are roots of (x^2-4x-21=0), what is the value of (\alpha^2\beta+\alpha\beta^2)?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 MathematicsHow many real roots does the equation \(x^2+4x+13=0\) have?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 MathematicsWhat is the positive difference between the two roots of (x^2-2kx+(k^2-4)=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard 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 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 a new equation is formed by taking reciprocals of the roots of (x^2-5x+6=0), which monic equation is obtained?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf (\alpha) and (\beta) are roots of (x^2-12x+32=0), what is the value of (\frac{\alpha^2+\beta^2}{\alpha\beta})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf (\alpha) and (\beta) are roots of (x^2-7x+10=0), what can be the value of (\frac{\alpha+\beta}{\alpha-\beta})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the smaller root of (x^2-11x+30=0) is (\alpha) and the larger root is (\beta), what is (\beta-\alpha)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf (\alpha) and (\beta) are roots of (x^2-8x+15=0), what is the value of (\frac{\alpha-1}{\beta-1}+\frac{\beta-1}{\alpha-1})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf (\alpha) and (\beta) are roots of (x^2+x-1=0), what is the value of (\alpha^2+\alpha\beta+\beta^2)?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