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Product Of Roots

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

MathematicsIf \(\alpha\) 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 32MediumMathematicsOne root of the equation \(x^2-15x+54=0\) is \(6\). What is the other root?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 32MediumMathematicsIf 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 \(\alpha\) 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 one root of the equation \(x^2-13x+40=0\) is \(5\), what is the other root?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 31MediumMathematicsIf the roots of a quadratic equation are \(r\) and \(r\), what is their product?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33EasyMathematicsIf one root of a quadratic equation is 6 and the product of the two roots is 48, what is the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33EasyMathematicsWhat is the product of the roots of \\(7x^2+5x-14=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 one root is 5 and the product of the roots is 35, what is the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32EasyMathematicsWhat is the product of the roots of \(5x^2-2x-8=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32EasyMathematicsWhat is the product of the roots of \(4x^2+7x-3=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32EasyMathematicsIf one root is 3 and the product of the two roots is 12, what is the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31EasyMathematicsWhat is the product of the roots of \(2x^2-3x-2=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31EasyMathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(ax^2+bx+c=0\), what is \(\alpha\beta\) equal to?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31EasyMathematicsIf one root of the equation \(x^2-(m+4)x+4m=0\) is \(4\), what is the other root?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30HardMathematicsWhich equation will have a negative product of roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29HardMathematicsIf the product of roots of (qx^2-8x+12=0) is (4), what is the value of (q)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium