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Complex Roots

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf \(x^2+4\) is a factor of the polynomial \(p(x)=x^4-16\), what contribution does this factor make to the real zeroes of \(p(x)\)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf \(r\) is any real number, what is the correct conclusion about the nature of the roots of the equation \(x^2-2rx+(r^2+9)=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsWhat is the nature of the roots of \\(x^2-2(3+\sqrt{2})x+(17+12\sqrt{2})=0\\)?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsWhat is the nature of the roots of the equation \(x^2+2(1-\sqrt{3})x+4=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsFor real numbers \(p\) and \(q\), if \(q\ne0\), what is the nature of the roots of the equation \(x^2-2px+(p^2+q^2)=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf the discriminant of a quadratic equation \(ax^2+bx+c=0\) with real coefficients is \(D<0\), what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsFor a quadratic equation with real coefficients, if the discriminant \(D<0\), what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38Easy MathematicsChoose the correct statement about the nature of the roots of the equation \(x^2+9=0\).Class 10Quadratic EquationsNature of RootsLevel 37Easy MathematicsIf the discriminant of a quadratic equation is \(D=b^2-4ac\) and \(D<0\), how many real roots does the equation have?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsWhat is the discriminant \(D\) of the equation \(x^2-2x+5=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Easy MathematicsWhich statement correctly describes the nature of the roots of \(x^2-10x+29=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhich statement correctly describes the nature of the roots of the quadratic equation \(x^2-4x+6=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhat is the sign of the discriminant (D) of the equation \(3x^2+2x+7=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium MathematicsWhat is the sign of the discriminant (D) for the equation \(2x^2+3x+5=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Medium MathematicsWhat is the value of \(x\) in the equation \(9x^2 + 11 = 0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Easy