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Quadratic Equations

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

MathematicsIf \(3\) is a root of the equation \(x^2+kx-18=0\), what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsWhich quadratic equation has −3 and 6 as its roots?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 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 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 (alpha+beta=-3) and (alphabeta=-10), which monic quadratic equation has (alpha) and (beta) as its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf the roots of a quadratic equation are (a) and (-a), what is the value of the ratio (\frac{c}{a_1}) of the constant term to the leading coefficient?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsWhat are the roots of the equation \(6x^2-7x+2=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf both roots of the equation \(x^2+ax+9=0\) are \(3\), what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsFor the equation \(x^2+2x+k=0\) to have real roots, which condition on \(k\) is necessary?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 MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(2x^2-6x+1=0\), what is the value of \(\alpha+\beta\)?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 MathematicsIf the discriminant \(D=0\) for a quadratic equation and the sum of its roots is 10, what is the value of each root?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 MathematicsIf the roots of a quadratic equation are 4 and 1/4, which statement is correct about them?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Easy