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Quadratic Equations

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

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 MathematicsIf the quadratic equation \(px^2-14x+7=0\) has equal roots and \(p\ne0\), what is the value of \(p\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsFor the quadratic equation \(2x^2-5x+q=0\) to have two real and equal roots, what should be the value of \(q\)?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 MathematicsFor which values of \\(k\\) will the equation \\(x^2-2(k-3)x+16=0\\) have equal roots?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsFor a quadratic equation \(ax^2+bx+c=0\), where \(a,b,c\) are rational numbers and \(a\ne0\), if the discriminant \(D=b^2-4ac=100\), which statement correctly describes the roots?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf (D_1=36), (D_2=11), (D_3=0), and (D_4=-5), which one gives irrational distinct roots?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of the equation \(x^2-3x-1=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of the equation \(7x^2-9x+2=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of \\(2x^2+x+2=0\\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the discriminant of \\(x^2+9x+14=0\\), and what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of the equation \\(5x^2-30x+45=0\\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the correct conclusion about the nature of the roots of the quadratic equation \(8x^2-4x+3=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of the equation \(6x^2+7x-3=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsAssertion: The quadratic equation \(x^2+3x+7=0\) has no real roots. Reason: If the discriminant \(D\) of a quadratic equation is less than zero, then it has no real roots. Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 38Medium 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 a parabola remains above the x-axis and does not intersect it, which statement is correct for the related quadratic equation?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf an equation has (D=0), which statement is correct in terms of graph?Class 10Quadratic EquationsNature of RootsLevel 38Medium