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Nature Of Roots

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

MathematicsWhat is the value of the equal root of the equation \(9x^2-6x+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsChoose the correct conclusion about the nature of the roots of the equation \(2x^2-x+2=0\).Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat is the nature of the roots of \(x^2-x-1=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf D>0 and D is not a perfect square, what is the nature of the roots of the quadratic equation?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat condition on \(k\) is necessary for the quadratic equation \(x^2+2(k+1)x+k^2+6k+9=0\) to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsChoose the correct conclusion about the nature of the roots of \(x^2+10x+29=0\).Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of \(2x^2-11x+15=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf \(a\) is a real number and \(x^2-2(a+4)x+(a^2+8a+16)=0\), what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf \(a\) is a real parameter and \(x^2-2(a+4)x+a^2+8a+15=0\), what will be the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf a is a real number and \(x^2-2(a+4)x+a^2+8a+20=0\), how many real roots does the equation have?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhat will λ be for real and equal roots of (λ+1)x² − 2(λ−2)x + (λ+1) = 0?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsFor a real parameter \(n\), which statement correctly describes the nature of the roots of the equation \(x^2+2(n+2)x+n^2+4n+8=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf \(n\) is any real number, what is the nature of the roots of the equation \(x^2+2(n+2)x+n^2+4n+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf x^2-2(k-3)x+k^2-6k+9=0 is a quadratic equation, what will be the nature of its roots for all real values of k?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhat is the nature of the roots of the quadratic equation \(x^2-2(k-3)x+k^2-6k+8=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhich of the following quadratic equations has non-real roots for every real value of \(m\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsLet \(r\) be a real number. Which statement correctly describes the nature of the roots of the equation \(x^2-(2r+5)x+(r^2+5r+7)=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhat is the nature of the roots of x² − (2r+5)x + (r²+5r+4) = 0?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsFor a quadratic equation, if the discriminant is \(D=-(b+3)^2\) and \(b\neq -3\), what will be the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf the discriminant of a quadratic equation is \(D=-(b+3)^2\), when will its roots be real and equal?Class 10Quadratic EquationsNature of RootsLevel 38Hard