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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।

MathematicsWhat are the roots of the equation \(2x^2+x-6=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf \\(x=0\\) is a root of the equation \\(ax^2+bx+c=0\\), where \\(a\\ne0\\), which statement about \\(c\\) is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsWhat is the repeated root of the equation \(9x^2-6x+1=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf the sum of the roots of a quadratic equation is 0 and their product is −16, which monic equation is formed?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsWhat are the roots of the quadratic equation \(x^2-2x-15=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf the product of roots of a quadratic equation is (0), which statement is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf the standard quadratic equation \(ax^2+bx+c=0\) has \(a=1\), \(b=-10\), and \(c=25\), what are its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf (x=\frac{3}{2}) is a root of (2x^2-5x+c=0), what is the value of (c)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf (x+2) and (x-5) are factors of a quadratic equation, what are its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsFor 2x² − 9x + 4 = 0, what are the sum and product of the roots respectively?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf the roots of a quadratic equation are (3) and (-4), what is the value of (\frac{1}{\alpha}+\frac{1}{\beta})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf the roots are (\alpha) and (\beta) with (\alpha+\beta=6) and (\alpha\beta=8), what is (\alpha^2+\beta^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf (2\alpha) and (2\beta) are roots and (\alpha+\beta=5), what is the sum of the new roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf one root of the equation \(x^2-13x+40=0\) is \(5\), what is the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf the sum of the roots of a quadratic equation is 7 and their product is 10, which monic quadratic equation is formed?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsFor the equation \(x^2-6x+k=0\) to have two equal real roots, what should be the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsWhich statement is correct about the roots of the equation \(x^2-2x+10=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf (D=49) for a quadratic equation, what will be the nature of its real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsWhat is the discriminant \(D\) of the quadratic equation \(2x^2-4x+2=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsWhat is the sum of the roots of the equation \(5x^2-4x-1=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium