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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।

MathematicsAssertion: The quadratic equation \(2x^2-8x+8=0\) has two equal roots. Reason: Its discriminant is \(D=0\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsA student writes the discriminant \(D=40\) for the equation \(x^2-4x+6=0\). What is the correct value of \(D\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhich of the following quadratic equations has two real and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf the discriminant of a quadratic equation is \(D=18\), what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf \\(2x^2+(k+1)x+3=0\\) has two distinct real roots, which condition on \\(k\\) is correct?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsFor the quadratic equation \(x^2+(k-3)x+4=0\) to have no real roots, what is the interval of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsFor the equation \(x^2-2(k+2)x+9=0\) to have equal roots, what are the possible values of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf the quadratic equation \(kx^2+8x+4=0\) has equal roots and \(k\neq0\), what is the value of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf the quadratic equation \(3x^2+mx+12=0\) has equal roots, what are the possible values of \(m\)?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 MathematicsWhat condition on \(k\) is necessary for the equation \(x^2+4x+k=0\) to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhich condition on \(k\) is necessary for the equation \(x^2-12x+k=0\) to have two real and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf the quadratic equation \(x^2+kx+25=0\) has equal roots, what are the possible values of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of x² − 7x + 11 = 0?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of the equation \(3x^2+5x-2=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of the equation \(x^2-5x+3=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIdentify the nature of the roots of x² − 5x + 5 = 0.Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the repeated root of the equation \(4x^2-20x+25=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of the quadratic equation \(x^2+6x+13=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of x² − 9x + 20 = 0?Class 10Quadratic EquationsNature of RootsLevel 38Easy