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

MathematicsIf (x^2-2(a+5)x+a^2+18=0) has equal roots, what is the value of (a)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf the equation \(x^2-2mx+(m^2-m)=0\) has real roots, what is the correct condition on \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsWhat is the positive difference between the two roots of \\(x^2-2kx+k^2-25=0\\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf the two roots of the equation \(x^2-(u+v+2)x+(u+1)(v+1)=0\) are equal, which of the following statements is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf the roots of 5x^2-4x+λ=0 are not real, what is the correct condition on λ?Class 10Quadratic EquationsNature of RootsLevel 32Hard MathematicsIf the quadratic equation \(x^2+(m+1)x+16=0\) has equal roots, what are the possible values of \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsFor the quadratic equation \(9x^2-6(a+1)x+a^2-3a=0\) to have real roots, which condition on \(a\) is necessary?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf the quadratic equation \(x^2-2(a-4)x+a^2-20=0\) has equal roots, what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf the two roots of the quadratic equation \(x^2-(u+v)x+uv=0\) are equal, which relation between \(u\) and \(v\) is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsAssume that \(a\) is a real number. What is the nature of the roots of the equation \(x^2-2x+(a^2+1)=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf the two roots of the quadratic equation \(x^2+(m-5)x+9=0\) are equal and not of opposite signs, what are the possible values of \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsFor the equation \(4x^2-4(a-1)x+a^2-4a=0\) to have real roots, what is the correct condition on \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf (x^2-2(k+2)x+k^2+5=0) has equal roots, what is the value of (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf ((k-2)x^2+4x+1=0) has equal roots, what is the value of (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsWhat are the two roots of the equation \(4x^2-4x+1=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsFor the equation \(x^2-2(k+1)x+k^2=0\) to have real and distinct roots, what is the correct condition on \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf 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 33Hard MathematicsFor the equation \(x^2-2x+(p+3)=0\) to have no real roots, what is the correct condition on \(p\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsFor the general quadratic equation ax^2+bx+c=0, which relation is correct when the roots are equal?Class 10Quadratic EquationsNature of RootsLevel 33Medium MathematicsIf the difference between the roots of the equation \(x^2-(k+2)x+2k=0\) is 2, find the values of \(k\).Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard