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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 the roots of the quadratic equation \(x^2-2x+k=0\) are \(\tan\theta\) and \(\cot\theta\), what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf the two roots of the equation \(x^2+kx+49=0\) are equal and negative, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf 8\alpha9 and 8\beta9 are the roots of 8x^2-6x+5=09, what is the sum of 8\alpha+39 and 8\beta+39?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf 2 is subtracted from each root of the equation \(x^2-6x-16=0\), what is the product of the resulting roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf the two roots of the equation \(x^2+kx+36=0\) are equal and negative, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the roots of x² + px + 12 = 0 are in the ratio 1:3 and both are negative, what is p?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf α and β are roots of x² − 3x + 2 = 0, which equation has 2α and 2β as roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the roots of x² − (a + 1)x + a = 0 are 1 and a, why is this correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf α and β are roots of 6x² + 5x − 4 = 0, what is αβ?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf the sum of roots is 11 and their product is 28, which monic quadratic equation is formed?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat is the sum of roots of 6x² − 13x + 5 = 0?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsThe two roots of the equation \(x^2+px+25=0\) are \(-5\) and \(-5\). What is the value of \(p\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsWhat is the sum of the roots of the quadratic equation \(4x^2-11x+7=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(2x^2-6x+1=0\), what is the value of \(\alpha+\beta\)?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 MathematicsWhat is the sum of the roots of the equation \(5x^2-4x-1=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsWhat is the sum of the roots of the equation \(2x^2+3x-5=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Easy MathematicsWhat is the sum of the roots of the equation \(3x^2-5x+2=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Easy MathematicsIf \(\alpha\) and \(\beta\) are the roots of \(x^2-18x+80=0\), what is the value of \((\alpha-8)(\beta-8)\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf 8 and 9 are the roots of the equation \(x^2 - s x + p = 0\), what is the value of \(s+p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert