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Equal Roots

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

MathematicsIf the two roots of the quadratic equation \(x^2+bx+49=0\) are equal and each root is \(-7\), what is the value of \(b\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf the roots of the quadratic equation \(x^2-2kx+25=0\) are equal, what are the possible values of \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsWhich of the following quadratic equations has two equal and positive roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf both roots of the quadratic equation \(x^2+bx+25=0\) are equal and each root is \(-5\), what is the value of \(b\)?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 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 MathematicsIf the roots of \(x^2+rx+36=0\) are 6 and 6, what is the value of \(r\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 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 MathematicsIf the roots of \(x^2+px+16=0\) are 4 and 4, what is the value of \(p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Medium MathematicsIf the discriminant \(D=b^2-4ac\) of a quadratic equation \(ax^2+bx+c=0\) equals 0, what will be the nature of its roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Easy