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Nature Of Roots

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

MathematicsIf a quadratic equation has (D=36), what is the correct statement about real roots?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36Easy MathematicsWhat is the correct statement about the real roots of x² + 25 = 0?Class 10Quadratic EquationsNature of RootsLevel 35Easy MathematicsIf a quadratic equation has discriminant D = −4, which conclusion is correct?Class 10Quadratic EquationsNature of RootsLevel 35Easy MathematicsIf a quadratic equation has (D=25), what is the correct statement about real roots?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Easy MathematicsIf D > 0, what type of roots does a quadratic equation have?Class 10Quadratic EquationsNature of RootsLevel 34Easy MathematicsIf the discriminant of a quadratic equation is \(D=b^2-4ac=0\), what type of roots does it have?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34Easy MathematicsWhat is the nature of the roots of (x^2-2x+(a^2+3)=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsWhat is the nature of the roots of (x^2-2x+(a^2+2)=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf the roots of 5x^2-4x+λ=0 are not real, what is the correct condition on λ?Class 10Quadratic EquationsNature of RootsLevel 32Hard MathematicsAssume that \(a\) is a real number. What is the nature of the roots of the equation \(x^2-2x+(a^2+1)=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsFor the general quadratic equation ax^2+bx+c=0, which relation is correct when the roots are equal?Class 10Quadratic EquationsNature of RootsLevel 33Medium MathematicsWhen will the real roots of the quadratic equation \(ax^2+bx+c=0\), where \(a\ne0\), be additive inverses of each other?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsWhat is the nature of the roots of 25x² − 30x + 9 = 0?Class 10Quadratic EquationsNature of RootsLevel 33Medium MathematicsA student says that the equation \(x^2-6x+9=0\) has two distinct real roots because its discriminant is not less than zero. What is the error in the student's statement?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhich expression's sign is used to determine the nature of the roots of a quadratic equation?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 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 nature of the roots of the quadratic equation \(x^2-6x+9=0\)?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 MathematicsWhich statement is correct about the roots of the equation \(x^2-2x+10=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium