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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 the roots of the quadratic equation \(x^2-4x+k=0\) are real and equal, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf (\alpha) and (\beta) are roots of (x^2-9x+20=0), what is the value of (\alpha^3+\beta^3)?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 MathematicsWhat is the nature of the roots of the equation \(x^2-2kx+k^2=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf (\alpha) and (\beta) are roots of (x^2-5x+6=0), what is the value of ((\alpha-\beta)^2)?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 the quadratic equation \(x^2-22x+121=0\), what are the sum and product of its roots, respectively?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf x = 4 is a root of ax² − 10x + 8 = 0, what is the value of a?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat are the roots of the equation \(10x^2-17x+3=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf the roots of the equation \(x^2+ax+25=0\) are \(5\) and \(5\), what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat will be the signs of both roots of (x^2+13x+42=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf α and β are roots of 6x² + 5x − 4 = 0, what is αβ?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhich of the following quadratic equations has two equal real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat is the positive difference between the two roots of the equation \(x^2-8x-9=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat is the positive root of the equation \(x^2-7x-30=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf the roots of a quadratic equation are 6 and 1/6, which statement is correct about them?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf (x=3) and (x=8) are roots of a monic quadratic equation, what will be the coefficient of (x)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf \(x=0\) is a root of the equation \(2x^2+mx+n=0\), what is the value of \(n\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat is the repeated root of the equation \(25x^2-10x+1=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium