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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।

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 MathematicsWhich condition on \(k\) is necessary and sufficient for the equation \(x^2+2(k-1)x+k+2=0\) to have real roots?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhich condition is correct for real roots in (3x^2+(2k-1)x+1=0)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsChoose the correct condition on (k) for real roots of (4x^2+4kx+9=0).Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf the equation \(2x^2-3x+p=0\) has real roots, which condition on \(p\) is correct?Class 10Quadratic EquationsNature of RootsLevel 38Medium 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 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 MathematicsWhich condition on \(m\) is necessary for the equation \(x^2+(m-2)x+1=0\) to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhich condition on \(k\) is necessary for the quadratic equation \(3x^2+2kx+k=0\) to have real roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium