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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।

MathematicsIf the discriminant of the quadratic equation \(ax^2+bx+c=0\) is zero, which statement about its roots is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsUnder which condition does a quadratic equation have two distinct real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Easy MathematicsFor the quadratic equation ax^2+bx+c=0 with discriminant D = b^2 - 4ac, in which condition are there no real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Easy MathematicsWhat is the nature of the roots of the quadratic equation \(36x^2-60kx+25k^2=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsWhich of the following statements is true for the equation \(x^2 - 12x + 40 = 0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf k is a real number, what is the nature of the roots of the equation 25x² + 40kx + 16k² = 0?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhich statement correctly describes the nature of the roots of \(x^2-10x+29=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhat is the nature of the roots of the quadratic equation \(16x^2-24kx+9k^2=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhich statement correctly describes the nature of the roots of \(x^2-8x+17=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf \(k\) is a real constant, what is the nature of the roots of the equation \(9x^2+12kx+4k^2=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsWhich of the following statements is correct for the equation \\(x^2-6x+11=0\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsWhich equation has discriminant −11?Class 10Quadratic EquationsNature of RootsLevel 30Medium MathematicsIf \(k\) is a real constant, what is the nature of the roots of the equation \(4x^2-4kx+k^2=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard 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 MathematicsIf one root of x² + ax + 12 = 0 is 3, what are the other root and a?Class 10Quadratic EquationsNature of RootsLevel 29Hard MathematicsWhich equation has discriminant −15?Class 10Quadratic EquationsNature of RootsLevel 29Hard MathematicsWhat is the nature of the roots of the equation \(x^2+14x+49=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsIf D = 64, what will be the nature of the roots of the quadratic equation?Class 10Quadratic EquationsNature of RootsLevel 30Medium MathematicsWhat is the nature of roots of (x^2-10x+25=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium MathematicsIf the discriminant D = 49, what is the nature of the roots of the quadratic equation?Class 10Quadratic EquationsNature of RootsLevel 29Medium