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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।

MathematicsIf one root of the equation \(3x^2-(3h+1)x+h=0\) is \(\frac{1}{3}\), what is the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2+6x+8=0\), what is the value of \((\alpha-\beta)^2+2\alpha\beta\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf the roots of the equation \(x^2-(2a+3)x+(a^2+3a+2)=0\) are consecutive integers, what are the roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-3x-28=0\), what is the value of \((\alpha+1)(\beta+1)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsWhich of the following is the correct pair of roots of the quadratic equation \(x^2-(2m+3)x+(m+1)(m+2)=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf the roots of the equation \(x^2+px+q=0\) are \(-3\) and \(-4\), what is the value of \(p+q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-6x+8=0\), what is the value of \(\alpha^2\beta^2\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the roots of the quadratic equation \(x^2+px+q=0\) are \(-2\) and \(-5\), what is the value of \(p+q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(3x^2-12x+5=0\), what is the value of \(\alpha+\beta\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium 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 MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-14x+48=0\), what is the value of \((\alpha-6)(\beta-6)\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-12x+35=0\), what is the value of \((\alpha-5)(\beta-5)\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsThe roots of the quadratic equation \(x^2-7x+3=0\) are \(\alpha\) and \(\beta\). What is the value of \(\alpha+\beta+3\alpha\beta\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf (\alpha) and (\beta) are the roots of the equation (x^2-9x+18=0), what is the value of ((\alpha-3)(\beta-3))?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf (\alpha,\beta) are the roots of the equation (x^2-9x+20=0), what is the value of (\alpha-4)(\beta-4)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard