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

MathematicsOne root of the equation \(x^2-17x+70=0\) is 7. What is the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsWhat is the product of the roots of the equation \(7x^2+4x-9=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsFor the quadratic equation \(x^2-18x+81=0\), what are the sum and product of its roots, respectively?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsWhat is the sum of the squares of the roots of the equation \(x^2-7x+10=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsIf the roots of a quadratic equation are \(b\) and \(-b\), what is the value of the ratio \(\frac{c}{a}\) of its constant term \(c\) to its leading coefficient \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-8x+15=0\), what is the value of \(\alpha+\beta+\alpha\beta\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsWhat is the product of the roots of the equation \\(5x^2+6x-8=0\\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsWhat is the sum of the squares of the roots of \(x^2-6x+5=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31MediumMathematicsIf the roots of a quadratic equation are (a) and (-a), what is the value of the ratio (\frac{c}{a_1}) of the constant term to the leading coefficient?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31MediumMathematicsIf both roots of the equation \(x^2+ax+9=0\) are \(3\), what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31MediumMathematicsIf \(x=1\) and \(x=4\) are the roots of a monic quadratic equation, what is the coefficient of \(x\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31MediumMathematicsIf 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 31MediumMathematicsIf \(\alpha\) 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 31MediumMathematicsIf 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 31MediumMathematicsWhat is the product of the roots of \\(3x^2+8x-11=0\\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31MediumMathematicsWhat is the product of the roots of \\(7x^2+5x-14=0\\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33EasyMathematicsWhat is the sum of the roots of the equation \(x^2-13x+42=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33EasyMathematicsWhat is the product of the roots of the equation \(6x^2-x-2=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33EasyMathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-16x+63=0\), what is the value of \((\alpha-7)(\beta-7)\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29ExpertMathematicsThe roots of the equation \(x^2-8x+5=0\) are \(\alpha\) and \(\beta\). What is the value of \(\alpha+\beta+4\alpha\beta\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert