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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 m is a real number, when will the roots of \(x^2-2(m-4)x+m^2-16=0\) be real and distinct?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsFor the equation \\((r+2)x^2-2(r+5)x+(r+2)=0\\), what is the value of \(r\) for which the roots are real and equal?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsWhat is the nature of the roots of the quadratic equation \(x^2-13x+40=0\)?Class 10Quadratic EquationsNature of RootsLevel 38MediumMathematicsWhat is the nature of the roots of the equation \(4x^2-12x+11=0\)?Class 10Quadratic EquationsNature of RootsLevel 38MediumMathematicsChoose the correct statement about the nature of the roots of \\(x^2+8x+18=0\\).Class 10Quadratic EquationsNature of RootsLevel 38MediumMathematicsA number-related problem leads to the equation \(n^2-15n+56=0\). What is the nature of the roots of this quadratic equation?Class 10Quadratic EquationsNature of RootsLevel 38MediumMathematicsAn area-based problem leads to the equation \(s^2-6s+10=0\). What is the correct conclusion about the real values of \(s\)?Class 10Quadratic EquationsNature of RootsLevel 38MediumMathematicsWhich 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 38MediumMathematicsIf 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 38MediumMathematicsFor 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 38MediumMathematicsFor which values of \\(k\\) will the equation \\(x^2-2(k-3)x+16=0\\) have equal roots?Class 10Quadratic EquationsNature of RootsLevel 38MediumMathematicsFor 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 38MediumMathematicsWhat is the nature of the roots of the equation \(x^2-3x-1=0\)?Class 10Quadratic EquationsNature of RootsLevel 38MediumMathematicsWhat is the nature of the roots of the equation \(7x^2-9x+2=0\)?Class 10Quadratic EquationsNature of RootsLevel 38MediumMathematicsWhat is the nature of the roots of \\(2x^2+x+2=0\\)?Class 10Quadratic EquationsNature of RootsLevel 38MediumMathematicsWhat is the discriminant of \\(x^2+9x+14=0\\), and what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38MediumMathematicsWhat is the nature of the roots of the equation \\(5x^2-30x+45=0\\)?Class 10Quadratic EquationsNature of RootsLevel 38MediumMathematicsWhat is the correct conclusion about the nature of the roots of the quadratic equation \(8x^2-4x+3=0\)?Class 10Quadratic EquationsNature of RootsLevel 38MediumMathematicsWhat is the nature of the roots of the equation \(6x^2+7x-3=0\)?Class 10Quadratic EquationsNature of RootsLevel 38MediumMathematicsAssertion: 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