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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।

MathematicsFor which value of \(a\) will the equation \(x^2-(a+3)x+3a=0\) have equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhat is the correct condition on \(k\) for the equation \(kx^2-6x+k=0\) to have real and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf \\(p\ne2\\), what must be the value of \\(p\\) for the equation \\((p-2)x^2+4x+1=0\\) to have equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf the quadratic equation \(2x^2+px+8=0\) has real and equal roots, what are the possible values of \(p\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhat is the nature of the roots of the equation \(3x^2+2\sqrt{3}x+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor the equation \\(x^2-2(k-2)x+(k^2-4)=0\\) to have equal roots, what is the value of \\(k\\)?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 \\(k\\) for the roots of the equation \\(x^2-2(k+1)x+k^2=0\\) to be real and distinct?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor a quadratic equation \(ax^2+bx+c=0\) with integer coefficients, where \(a\ne0\), which condition on the discriminant \(D=b^2-4ac\) identifies two distinct irrational roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf \(a\ne0\) in the quadratic equation \(ax^2+bx+c=0\), and its roots are real and equal, which of the following conditions is correct?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhat is the nature of the roots of 2x² + 3x − 5 = 0?Class 10Quadratic EquationsNature of RootsLevel 37Easy MathematicsWhat is the nature of the roots of the equation \(x^2+5x+7=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhich statement is correct for 4x² − 4x + 1 = 0?Class 10Quadratic EquationsNature of RootsLevel 37Easy MathematicsFor the quadratic equation \(2x^2+(k-4)x+8=0\) to have no real roots, which condition on \(k\) is correct?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf the equation \(x^2-2(k-1)x+k+1=0\) has equal roots, what are the values of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 37Medium 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 MathematicsIf the equation \\(qx^2+5x+q=0\\) has equal roots and \\(q\\ne 0\\), what are the possible values of \\(q\\)?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsA situation involving a rectangle leads to the quadratic equation \(t^2-8t+16=0\). What is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf the discriminants of three quadratic equations are \(D_1=0\), \(D_2=7\), and \(D_3=-2\), respectively, which equation has equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhat is the nature of the roots of the equation \(x^2-4x+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Medium