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Parameter Condition

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

MathematicsA geometric situation leads to the quadratic equation \(L^2-2(a+4)L+(a^2+6a+13)=0\). What condition on \(a\) is necessary for \(L\) to have real values?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsWhat condition on \(k\) is necessary for the quadratic equation \(x^2+2(k+1)x+k^2+6k+9=0\) to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf the roots of the equation \(x^2+2kx+k^2-4k+8=0\) are real, what is the correct condition on \(k\)?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 MathematicsWhat condition on \(m\) is required for the equation \(x^2+2(m-1)x+(m+5)=0\) to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhat is the correct condition on \(a\) for the quadratic equation \(9x^2-6(a-1)x+a^2-4a-5=0\) to have real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf ((m-1)x^2+2(m+1)x+(m-1)=0) has real reciprocal roots, what is the correct condition on (m)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf the equation \(x^2-2mx+(m^2-m)=0\) has real roots, what is the correct condition on \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsFor the quadratic equation \(9x^2-6(a+1)x+a^2-3a=0\) to have real roots, which condition on \(a\) is necessary?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsFor the equation \(4x^2-4(a-1)x+a^2-4a=0\) to have real roots, what is the correct condition on \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsFor (kx^2+6x+9=0) to have real roots with (k\ne0), which condition on (k) is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf the quadratic equation \(x^2-4x+(m+4)=0\) has no real roots, which condition on \(m\) is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf the equation \(x^2-2x+(m+1)=0\) has no real roots, which condition on \(m\) is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsWhat is the necessary and sufficient condition on \(k\) for the equation \(x^2+6x+k=0\) to have real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsFor the quadratic equation \(x^2+4x+k=0\) to have real roots, which condition on \(k\) is necessary?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsFor the equation \(x^2+2x+k=0\) to have real roots, which condition on \(k\) is necessary?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf the roots of the equation \(x^2-12x+k=0\) are real and distinct, what is the correct condition on \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf the zeroes of p(x) = x² − k are irrational real, which condition on k is correct?Class 10PolynomialsIrrational numbers and real numbersLevel 27Hard