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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 sum and product of the zeroes of \(p(x)=x^2-ax+a\) are equal and \(a\ne0\), what can be the value of \(a\)?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf the roots of the equation \(x^2+2(m-4)x+(m^2-7m+14)=0\) are real, which condition on \(m\) is correct?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf the equation \(x^2-2(a-1)x+(a^2+1)=0\) has no real roots, which condition on \(a\) is correct?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsThe discriminant of a quadratic equation is D = (s − 2)^2. What must be the value of s for the equation to have equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsFor which values of \(\lambda\) does the equation \(x^2-2\lambda x+\lambda=0\) have equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsWhat condition on \(m\) is necessary for the equation \(x^2-(m+3)x+3m=0\) to have two real and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf a and b are real constants, when will the two roots of \(x^2-(a+b)x+ab=0\) be equal?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf p is a real number, which statement correctly describes the nature of the roots of the equation x² + 2x + (p² + 2) = 0?Class 10Quadratic EquationsNature of RootsLevel 37Hard