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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 p(x) = 2x² − 7x + 5, what is the difference between the sum and product of its zeroes?Class 10PolynomialsPolynomials in one variableLevel 48Medium MathematicsIf p(x)=x²+ax+b satisfies p(-2)=0 and p(5)=0, what is the value of a+b?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsIf the zeroes of the polynomial \(p(x)=x^2-(m+3)x+12\) are 3 and 4, what is the value of \(m\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the roots of \\(x^2+px+q=0\\) are \\(-4\\) and \\(9\\), what is the value of \\(p-q\\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf the roots of the equation \(x^2-16x+q=0\) are in the ratio \(5:3\), what is the value of \(q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsFor the quadratic equation \(ax^2+bx+c=0\), where \(a\neq0\) and \(c\neq0\), which condition is necessary and sufficient for its two roots to be reciprocals of each other?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf the roots of the quadratic equation \(x^2+px+q=0\) are \(-3\) and \(7\), what is the value of \(p-q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2+8x+12=0\), what is the value of \((\alpha-\beta)^2+3\alpha\beta\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf the roots of the equation \(x^2-(2a+7)x+(a+3)(a+4)=0\) are consecutive integers, which pair represents the roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf the roots of the equation x² − 14x + q = 0 are in the ratio 3:4, what is the value of q?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-8x+n=0\) and \(\alpha^2+\beta^2=40\), what is the value of \(n\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf the roots of the quadratic equation \(x^2+ax+b=0\) are \(3+\sqrt{2}\) and \(3-\sqrt{2}\), what is the value of \(a+b\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-7x+12=0\), what is the value of \(\frac{\alpha+1}{\alpha-1}+\frac{\beta+1}{\beta-1}\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf (alpha,beta) are the roots of (x^2-6x+n=0) and (alpha^2+beta^2=20), what is the value of (n)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf the roots of \(x^2+ax+b=0\) are \(\frac{1}{2+\sqrt{3}}\) and \(\frac{1}{2-\sqrt{3}}\), what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf the roots of the equation \(x^2+ax+b=0\) are \(2+\sqrt{3}\) and \(2-\sqrt{3}\), what is the value of \(a+b\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf the roots of (x^2+px+12=0) are (r) and (r+1), what are the possible values of (p)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsThe difference between the two roots of the equation \(x^2+6x+r=0\) is \(2\sqrt{5}\). What is the value of \(r\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-5x+1=0\), what is the value of \(\alpha^2+\beta^2\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsWhen will the real roots of the quadratic equation \(ax^2+bx+c=0\), where \(a\ne0\), be additive inverses of each other?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard