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Equal Roots

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

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 MathematicsIf both roots of a monic quadratic equation are 5 and 5, which of the following is the equation?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Easy MathematicsIf the roots of a quadratic equation are \(r\) and \(r\), what is their product?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Easy MathematicsWhat are the roots of the equation \(x^2-6x+9=0\)?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 MathematicsWhat is the discriminant \(D\) of the equation \(x^2+4x+4=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Easy MathematicsIf the discriminant of a quadratic equation is \(D=0\), what is the nature of its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Easy MathematicsIf both roots of a monic quadratic equation are −4 (a repeated root), what is the equation?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Easy MathematicsIf both roots of a monic quadratic equation are (7) and (7) then which equation is it?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Easy MathematicsIf a quadratic equation has two equal real roots, what is the value of the discriminant (D)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Easy MathematicsIf both roots of \(x^2+bx+144=0\) are equal and each is \(-12\), what is the value of \(b\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf the roots of \(x^2-2mx+64=0\) are equal, what are the possible values of \(m\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf the two roots of the equation \(x^2+bx+100=0\) are equal and each root is \(-10\), what is the value of \(b\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf the two roots of the quadratic equation \(x^2-2mx+49=0\) are equal, what are the possible values of \(m\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf both roots of the quadratic equation \\(x^2+bx+64=0\\) are equal and each root is \\(-8\\), what is the value of \\(b\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf the roots of the quadratic equation \(x^2-2mx+36=0\) are equal, what are the possible values of \(m\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhich of the following quadratic equations will have two equal and negative roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf the two roots of the quadratic equation \(x^2+bx+49=0\) are equal and each root is \(-7\), what is the value of \(b\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard