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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 \(a,b,c\) are real numbers and \(a\ne0\), which situation about the roots of the quadratic equation \(ax^2+bx+c=0\) is impossible?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf ctc is a real number and the discriminant of a quadratic equation is c(D=-(t^2+4))c, how many real roots will the equation have?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf the discriminant of a quadratic equation with real coefficients is \(D=2r^2+3\), where \(r\) is a real number, what is the correct conclusion about its roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf the discriminant of a quadratic equation is (D=(m-5)^2), which value of (m) is required for its roots to be equal?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor any real constant \(k\), what is the nature of the roots of the equation \(9x^2-6(k-1)x+(k-1)^2=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhat condition on k is required for the equation 4x² − 4(k + 1)x + (k² + 2k) = 0 to have real roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor which value of \(n\) will the equation \(x^2+(n+2)x+2n=0\) have equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor the quadratic equation \(x^2+(2h-1)x+h^2=0\) to have equal roots, what is the value of \(h\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf the roots of the equation \(x^2-2(\alpha+2)x+\alpha^2=0\) are real and distinct, what is the correct condition on \(\alpha\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhat is the correct condition on λ for real roots of x² + 2(λ−1)x + λ² + 1 = 0?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor the quadratic equation \((a-1)x^2+2ax+(a+3)=0\) to have equal roots, what is the value of \(a\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor which value of (m) will (m x^2+(m+3)x+3=0) have equal roots and remain a quadratic equation?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhat condition on \(u\) is necessary for the equation \(x^2-2ux+u^2+7u=0\) to have real roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf the equation \(x^2-2px+p^2-5p=0\) has real and distinct roots, what is the correct condition on \(p\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf p is a real number, which statement correctly describes the nature of the roots of the equation x² + 2x + (p² + 2) = 0?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor which interval of (t) will the equation (x^2+2tx+t+4=0) have no real roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor which condition on \(s\) will the equation \(x^2-2sx+s+2=0\) have real and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor the equation \(x^2-2(a-3)x+a^2-9=0\) to have real and equal roots, what should be the value of \(a\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhat condition on the parameter \(a\) is necessary for the equation \(x^2+2(a+1)x+a^2+3=0\) to have real roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor the two roots of the equation \(x^2-(r+4)x+4r=0\) to be equal, what must be the value of \(r\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard