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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 the quadratic equation \(x^2-2hx+h^2+8h=0\) has equal roots, what is the value of \(h\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf the equation \(x^2-2hx+h^2+8h=0\) has real and distinct roots, which condition on \(h\) is necessary?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsFor the quadratic equation \(x^2+2gx+g^2-6g+11=0\) to have equal roots, what should be the value of \(g\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf the equation \(x^2+2gx+g^2-6g+11=0\) has real roots, what condition must \(g\) satisfy?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf \(v\) is any real number, which statement correctly describes the nature of the roots of \(2x^2-4vx+2v^2+5=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf \(w\) is a real number, what is the nature of the roots of the equation \(4x^2-4wx+w^2=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsAssume that \(a\) and \(b\) are real numbers. Which statement about the roots of the equation \(x^2+2(a-b)x+(a+b)^2=0\) is correct?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhen will the two roots of the equation \(x^2-(m+n)x+mn=0\) be equal?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf \(a\ne b\), what is the nature of the roots of the equation \(x^2-2(a+b)x+4ab=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsFor the quadratic equation \(x^2-(a+6)x+6a=0\) to have equal roots, what is the value of \(a\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf the discriminant of a quadratic equation is \(D=(z+1)^2-9\), in which interval must \(z\) lie for the equation to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf the discriminant of a quadratic equation is \(D=(s-2)(s+5)\), where \(s\) is real, when will its roots be real and distinct?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhat is the correct statement about the real roots of x² + 2(2y−1)x + 4y² + 3 = 0?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf the equation \(x^2-2\sqrt{n}x+4=0\) has real and equal roots, what is the value of \(n\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhat is the nature of the roots of the quadratic equation \(3x^2-2\sqrt{15}x+5=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhat condition on \(c\) is necessary for the quadratic equation \(x^2-2(c+1)x+c^2-2c+5=0\) to have real roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsFor a real parameter \(t\), which value of \(t\) will make the equation \((t-1)x^2-2(t+2)x+(t+5)=0\) have equal roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsFor which value of k will (k+3)x² + 2kx + (k−1) = 0 have equal roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhich value of \(q\) is required for the two roots of the quadratic equation \(2x^2-(q+4)x+2q=0\) to be equal?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhat condition on \(a\) is required for the equation \(x^2+2(a+3)x+a^2+10a+17=0\) to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard