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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।

MathematicsWhat are the two roots of the equation \(4x^2-4x+1=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33HardMathematicsIf the quadratic equation \(x^2+kx+16=0\) has equal roots, what are the possible values of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33HardMathematicsFor the general quadratic equation ax^2+bx+c=0, which relation is correct when the roots are equal?Class 10Quadratic EquationsNature of RootsLevel 33MediumMathematicsIf the quadratic equation \(2x^2+\lambda x+8=0\) has equal roots, what can be the values of \(\lambda\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33HardMathematicsIf the quadratic equation \(x^2+2(k-1)x+k+5=0\) has equal roots, what are the possible values of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33HardMathematicsIf the equation \(kx^2-2(k+1)x+(k+4)=0\) has equal roots, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33HardMathematicsWhich quadratic equation has real and equal roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf the two roots of the equation \(x^2+kx+49=0\) are equal and negative, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf the two roots of the equation \(x^2-2(m+2)x+(m+2)^2=0\) are equal, which statement about \(m\) is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf () and () are the roots of (x^2-12x+36=0), what is the value of (-)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf the roots of x^2+px+25=0 are equal and both negative, what is the value of p?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsIf the equation \(kx^2-8x+16=0\) has equal roots and \(k\ne0\), what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf the two roots of the quadratic equation \(x^2-6x+k=0\) are real and equal, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf the two roots of the equation \(x^2+kx+36=0\) are equal and negative, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31HardMathematicsIf roots of (x^2-2(m+1)x+(m^2+2m+1)=0) are equal, what is true for (m)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31HardMathematicsIf the two roots of the quadratic equation \(x^2-2(m+1)x+(m^2+2m)=0\) are equal, what is the value of \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31HardMathematicsIf the two roots of the quadratic equation \(x^2+bx+9=0\) are equal and positive, what is the value of \(b\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31HardMathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-10x+25=0\), what is the value of \(\alpha-\beta\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31HardMathematicsIf the quadratic equation \(kx^2-6x+9=0\) has equal roots and \(k\ne0\), what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31HardMathematicsIf the roots of the quadratic equation \(x^2-4x+k=0\) are real and equal, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard