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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 (4) is a root of the equation (x^2+kx-32=0), what is the value of (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhich quadratic equation has 3 and −8 as its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat are the roots of the equation \(5x^2+16x+3=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat are the roots of the equation \(4x^2-17x+4=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat are the roots of the quadratic equation \(x^2-14x+45=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIs \(x=-3\) a root of the equation \(2x^2+7x+3=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIs \(x=5\) a root of the equation \(x^2-10x+25=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf \(q(t)=0\) for the quadratic equation \(q(x)=0\), what is \(t\) called?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsFor the quadratic equation \(x^2-18x+81=0\), what are the sum and product of its roots, respectively?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsWhat is the sum of the squares of the roots of the equation \(x^2-7x+10=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIf 8\alpha+\beta=-59 and 8\alpha\beta=-149, which monic quadratic equation has 8\alpha9 and 8\beta9 as its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIf the roots of a quadratic equation are \(b\) and \(-b\), what is the value of the ratio \(\frac{c}{a}\) of its constant term \(c\) to its leading coefficient \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsWhat are the roots of \\(8x^2-10x+3=0\\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIf the two roots of the equation \(x^2+ax+16=0\) are 4 and 4, what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsFor the quadratic equation \(x^2+4x+k=0\) to have real roots, which condition on \(k\) is necessary?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsWhat is the condition for the quadratic equation \(ax^2+bx+c=0\), where \(a\ne0\), to have two equal real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(3x^2-12x+5=0\), what is the value of \(\alpha+\beta\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsWhat is the absolute difference between the roots of \(x^2-6x-7=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIf the discriminant \(D=0\) and the sum of the roots is \(12\), what is the value of each root?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsWhat is the positive root of the equation \(x^2-5x-24=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium