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Quadratic Equations

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

MathematicsThe roots of the equation \(x^2+mx+12=0\) are \(-3\) and \(-4\). What is the value of \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsWhat are the roots of the equation \(2x^2+x-6=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf \(x=1\) and \(x=4\) are the roots of a monic quadratic equation, what is the coefficient of \(x\)?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 MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-5x+6=0\), what is the value of \(\alpha+\beta+\alpha\beta\)?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 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 MathematicsIf both roots of the equation x² + px + 16 = 0 are -4 and -4, what is the value of p?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 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 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 product of the roots of \\(3x^2+8x-11=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 MathematicsIf 2 is a root of x² + kx − 14 = 0, what is the value of k?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Easy