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Quadratic Roots

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

MathematicsIf the roots of (3x^2+px+12=0) are in the ratio (1:4), what are the possible values of (p)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf the difference between the roots of (x^2+(a-2)x+a=0) is (3), what is the value of (a)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\alpha,\beta) are the roots of (x^2-6x+m=0) and (\alpha^3+\beta^3=72), what is (m)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\alpha,\beta) are the roots of (2x^2-7x+3=0), what is the value of ((\alpha-\beta)^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf one root of (x^2+(k-3)x+k=0) is twice the other root, what is the value of (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\alpha,\beta) are the roots of (3x^2-10x+3=0), which equation has roots (\frac{1}{\alpha},\frac{1}{\beta})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf the roots of (2x^2-5x+m=0) are (\alpha,\beta) and (\alpha^2+\beta^2=\frac{13}{4}), find (m).Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf the roots of (x^2-7x+k=0) are reciprocals of each other, what is the value of (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsWhat are the roots of \(3x^2-10x+3=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Easy MathematicsWhat is the value of \(ac\) in the equation \(4x^2+13x+3=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium