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Roots

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

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 MathematicsIf (3\alpha) and (3\beta) are new roots and (\alpha+\beta=4), what is the sum of the new roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIf the sum of the roots of a quadratic equation is 9 and their product is 18, which monic quadratic equation is formed?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIf D = 64 for a quadratic equation, what will be the nature of its real roots?Class 10Quadratic EquationsNature of RootsLevel 32Easy MathematicsWhat is the discriminant \(D\) of the equation \(3x^2-6x+3=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsWhat are the roots of the equation \(2x^2+9x+4=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsWhat are the roots of the equation \(3x^2-13x+4=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsWhat are the roots of the quadratic equation \(x^2-12x+35=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIs x = -2 a root of the equation 3x² + 2x - 8 = 0?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIs \(x=4\) a root of the equation \(x^2-9x+20=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIf substituting (x=a) in a quadratic equation (p(x)=0) gives (p(a)=0), what is (a) called?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIf (\alpha) and (\beta) are roots of (3x^2-4x-4=0), what is the value of (\frac{1}{\alpha}+\frac{1}{\beta})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf the discriminant of a quadratic equation is \(D=b^2-4ac\) and \(D<0\), how many real roots does the equation have?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsFor the quadratic equation \(x^2-14x+49=0\), what are the sum and product of its roots, respectively?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf (x=2) is a root of (ax^2-5x+2=0), what is the value of (a)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsWhat is the sum of the squares of the roots of \(x^2-6x+5=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsWhat will be the signs of both roots of (x^2+7x+10=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsWhat is the nature of the roots of the quadratic equation \(x^2-6x+9=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsWhat is the absolute difference between the two roots of the equation \(x^2-4x-5=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsWhat is the positive root of the equation \(x^2-3x-18=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium