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Discriminant

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

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 of the following quadratic equations has two equal and positive roots?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 MathematicsWhich equation has discriminant −15?Class 10Quadratic EquationsNature of RootsLevel 29Hard MathematicsIf the roots of the equation \(x^2-6x+k=0\) are real and distinct, what is the correct condition on \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhat condition on \(k\) is necessary and sufficient for the equation \(x^2+2kx+9=0\) to have real roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf the two roots of the equation \(x^2-2kx+16=0\) are equal, what are the possible values of \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf the roots of (x^2-18x+k=0) are equal, what is (k)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsIf both roots of the equation \(x^2 + u x + 64 = 0\) are 8, what is the value of \(u\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsWhat is the sign of the discriminant of the equation \(4x^2+x+6=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium 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 discriminant \(D\) of the equation \(25x^2-20x+4=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsIf the roots of (x^2-14x+k=0) are equal, what is (k)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium 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 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 MathematicsWhat is the discriminant \(D\) of the equation \(9x^2-12x+4=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium MathematicsIf the roots of x² − 6x + k = 0 are equal, what is k?Class 10Quadratic EquationsNature of RootsLevel 28Medium MathematicsWhat is the sign of the discriminant (D) for the equation \(2x^2+3x+5=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Medium