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Discriminant

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

MathematicsIf \(a=1\), \(b=-16\), and \(c=64\) in a quadratic equation, what are its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsWhat is the nature of the roots of 9x² − 24x + 16 = 0?Class 10Quadratic EquationsNature of RootsLevel 32Medium MathematicsWhich statement correctly describes the real roots of the equation \(x^2-4x+13=0\)?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 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 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 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 repeated root of the equation \(9x^2-6x+1=0\)?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 MathematicsWhat is the nature of the roots of 4x² − 12x + 9 = 0?Class 10Quadratic EquationsNature of RootsLevel 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 MathematicsIf the discriminant of the quadratic equation \(ax^2+bx+c=0\) is zero, which statement about its roots is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsHow many real roots does the equation \(x^2+36=0\) have?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Easy MathematicsIf a quadratic equation has equal roots, what is the value of its discriminant?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Easy MathematicsIf the quadratic equation \(ax^2+bx+c=0\), where \(a\ne0\), has two equal real roots, what is the value of its discriminant?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Easy