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No Real Roots

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

MathematicsIf the equation x² − 2(a + 1)x + (a² + 4a + 5) = 0 has no real roots, which condition on a is correct?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf \(r\) is any real number in the equation \(x^2-2rx+(r^2+49)=0\), what is the correct conclusion about its roots?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf the discriminant of a quadratic equation is D = (z − 9)(z + 1), which interval of z is required for the equation to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsFor the quadratic equation \(x^2-2px+(p^2+36)=0\), what is the correct conclusion about the nature of its roots for any real value of \(p\)?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf m is a real number and the equation x² + 2(m − 5)x + (m² − 9m + 24) = 0 has no real roots, which condition on m is correct?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsWhich option is correct about the roots of 5x² − 3√5x + 6 = 0?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf \(a<0\), \(c<0\), and \(b=0\), what is the nature of the roots of the quadratic equation \(ax^2+c=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsWhat is the correct condition on \(v\) for the equation \(x^2+2(v+2)x+(4v+11)=0\) to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf (x^2+2(v+2)x+(4v+11)=0) has no real roots, in which interval will (v) lie?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsChoose the correct conclusion about the nature of the roots of \(2x^2-5\sqrt{2}x+8=0\).Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf the discriminant of a quadratic equation is ( D=-(p-1)^2 ) and ( p\ne 1 ), what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsWhat is the nature of the roots of the quadratic equation \(x^2+2(2-\sqrt{5})x+9=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsThe equation \(x^2-2(3t+1)x+(5t^2+2t+4)=0\) has no real roots. What is the correct interval for \(t\)?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsWhich option is correct about the roots of 2x² − 3√2 x + 7 = 0?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the correct condition on \(t\) for the equation \(x^2+2(t+1)x+(3t+7)=0\) to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf x² + 2(t + 1)x + (3t + 7) = 0 has no real roots, in which interval will t lie?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf x² − 2(k − 3)x + (k² − 8k + 20) = 0 has no real roots, what is the correct condition on k?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf the discriminant of a quadratic equation is \(D=(u+1)(u-5)\), which interval of \(u\) results in no real roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf the equation \(x^2+2(m-2)x+(m^2-3m+4)=0\) has no real roots, what is the correct condition on \(m\)?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsThe equation (x^2-2(2t-1)x+(t^2+2)=0) has no real roots. Choose the correct interval for (t).Class 10Quadratic EquationsNature of RootsLevel 37Expert