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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।

MathematicsIf the two roots of 8x^2+px+16=09 are equal, which values of 8p9 are possible?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhich of the following equations has no real roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhich of the following quadratic equations has two real and equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhat is the nature of the roots of the quadratic equation \(3x^2-6x+3=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhat is the discriminant of the equation \(x^2+7x+10=0\), and what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhat is the nature of the roots of the equation \\(4x^2+4x+5=0\\)?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhat is the correct nature of the roots of \(6x^2-x-2=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIdentify the nature of roots of (2x^2-7x+3=0).Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhich option correctly describes the nature of the roots of the quadratic equation \(7x^2-2x+5=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhat is the nature of the roots of the equation 9x² + 12x + 4 = 0?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsA student incorrectly writes the discriminant as \(D=b^2+4ac\). What is the correct discriminant \(D\) for the quadratic equation \(x^2+2x+3=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsAssertion: The equation \(x^2-10x+25=0\) has equal roots. Reason: Its discriminant is \(D=0\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhich condition identifies that the quadratic equation \(ax^2+bx+c=0\), where \(a\ne0\), has two equal real roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf the coefficients of a quadratic equation are rational and its discriminant is D = 12, what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf the discriminant of a quadratic equation is D = 49, what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsA student says that the equation \(x^2-2x+5=0\) has two real roots because \(b^2\) is positive. What is the correct evaluation of this statement?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsChoose the correct condition on \(k\) for the equation \(x^2+2(k+1)x+k^2=0\) to have two distinct real roots.Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsFor the equation \(x^2-(k+1)x+4=0\), in which interval must \(k\) lie for the equation to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf the quadratic equation \(kx^2-6x+1=0\) has equal roots, what is the value of \(k\)?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