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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 \(\alpha,\beta\) are the roots of \(x^2-20x+96=0\), what is the value of \((\alpha-8)(\beta-8)\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf the roots of (x^2+px+q=0) are (6) and (p), what is the value of (p)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsThe roots of \(x^2-9x+4=0\) are \(\alpha,\beta\). What is \(\alpha+\beta+5\alpha\beta\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf the roots of \(x^2+bx+c=0\) are \(-6\) and \(13\), what is the value of \(b+c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsWhat is the sum of cubes of the roots of (x^2-7x-18=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf in \(6x^2+kx+66=0\), the product of roots is (-2) times the sum of roots, what is (k)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsWhat is the difference between the roots of the equation \(7x^{2}-30x+32=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf one root of the quadratic equation \(x^2-(m+7)x+7m=0\) is 7, what is the other root?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf the roots of a monic quadratic equation are (3r) and (4r), and their sum is (28), what will be the constant term?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert 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 MathematicsWhat is the sum of squares of the roots of \(6x^2+7x+2=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsWhich of the following quadratic equations has discriminant -47?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 MathematicsWhat is the sum of reciprocals of the roots of (6x^2-19x+10=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf roots of (x^2+px+q=0) are (p+1) and (q-1), and (p+q=5), what is the value of (pq)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf (\alpha,\beta) are roots of (2x^2-7x+3=0), what is the value of (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf the equation \(x^2-2ax+a^2-36=0\) is given, what is the difference between its larger and smaller roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf α and β are roots of x² − 7x − 30 = 0, what is αβ + 4α + 4β?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 29Medium MathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-15x+44=0\), what is the value of \((\alpha+\beta)^2\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf \(\alpha\) 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 29Expert