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Parameter Inequality

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

MathematicsIf (\alpha\neq-3) in ((\alpha+3)x^2-2\alpha x+(\alpha-2)=0), what is the condition on (\alpha) for real roots?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf the equation \(x^2-2\theta x+3\theta=0\) has two real and distinct roots, which condition on \(\theta\) is correct?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf x² − 2(k − 4)x + (k² − 10k + 27) = 0 has no real roots, which condition on k is correct?Class 10Quadratic EquationsNature of RootsLevel 39Hard MathematicsIf (\alpha\neq-2) in ((\alpha+2)x^2-2\alpha x+(\alpha-1)=0), what is the condition on (\alpha) for real roots?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf the equation \(x^2-2\mu x+2\mu=0\) has two real and distinct roots, which condition on \(\mu\) is correct?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf the roots of the equation \(x^2-2(k+2)x+(k^2+3k+7)=0\) are real, which condition on \(k\) is necessary?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsGiven that \\(\alpha\ne -1\\), what condition on \\(\alpha\\) is necessary for the equation \\((\alpha+1)x^2-2\alpha x+\alpha=0\\) to have real roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf (x^2-2\lambda x+\lambda=0) has two real and distinct roots, which condition on (\lambda) is correct?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIn ((k-2)x^2+2kx+(k+3)=0), with (k\neq2), what is the correct condition for real roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsFor the equation \((p+1)x^2-2(p+2)x+(p+4)=0\), where \(p\ne -1\), what condition on \(p\) ensures that the roots are real?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf \(k\) is a real number and the roots of the equation \(x^2-2(k+1)x+(k^2+4)=0\) are real, what is the correct condition on \(k\)?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsFor which (r) will (rx^2-5x+r=0) have two distinct real roots?Class 10Quadratic EquationsNature of RootsLevel 39Hard MathematicsWhich condition is correct for real roots of (x^2+2(k+1)x+k+5=0)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhich condition is correct for real roots in (2x^2+(2k+1)x+5=0)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf the equation \\(3x^2+(k-2)x+4=0\\) has two distinct real roots, which condition on \\(k\\) is correct?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhich condition on \\(k\\) is necessary for the equation \\(5x^2+2kx+2=0\\) to have real roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf the roots of the quadratic equation \(3x^2-4x+p=0\) are real, which condition on \(p\) is correct?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsFor the quadratic equation \(x^2-2kx+9=0\) to have real roots, which of the following conditions on \(k\) is required?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsFor which values of \(a\) will the equation \(3x^2-2(2a+1)x+(a^2+a+1)=0\) have real and distinct roots?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