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Roots Of Quadratic

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

MathematicsWhich of the following quadratic equations has real and distinct roots that are irrational?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsFor the quadratic equation \(ax^2+bx+c=0\) with integer coefficients, where \(a\ne0\), which condition ensures that both roots are distinct real irrational numbers? Here, the discriminant is \(\Delta=b^2-4ac\).Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the sum of the roots of a monic quadratic equation is 5 and their product is 6, which of the following equations can have those roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium 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 product of the roots of the equation \(6x^2-x-2=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Easy MathematicsThe roots of the equation \\(x^2-5x+2=0\\) are \\(\\alpha\\) and \\(\\beta\\). What is the value of \\(\\alpha+\\beta+2\\alpha\\beta\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2+7x+10=0\), what is the value of \((\alpha+2)(\beta+2)\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2+2x-8=0\), what is the value of \((\alpha+\beta)^2\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf the roots of the equation \(x^2+vx+28=0\) are \(-4\) and \(-7\), what is the value of \(v\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium