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Equal Roots

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

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 quadratic equation \(kx^2-6x+1=0\) has equal roots, what is the value of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf the quadratic equation \(px^2+4x+1=0\) has equal roots and \(p\neq 0\), what is the value of \(p\)?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf the quadratic equation \(4x^2+mx+1=0\) has equal roots, what are the possible values of \(m\)?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf (2x^2-8x+c=0) has equal roots, what is the value of (c)?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf the graph of a quadratic equation touches the x-axis at exactly one point, what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhat is the equal root of (x^2-8x+16=0)?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf the quadratic equation \(x^2+kx+9=0\) has equal roots, which values of \(k\) are possible?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf the two roots of the equation \(x^2-4x+k=0\) are equal, what is the value of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhat is the nature of the roots of the equation \(x^2+4x+4=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf the two roots of the quadratic equation \(x^2-2rx+9=0\) are equal, what is the value of \(r^2\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsWhat is the nature of the roots of the quadratic equation \(x^2+8x+16=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsWhat is the value of the discriminant \(D\) of the quadratic equation \(x^2+8x+16=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsStatement: If the discriminant \(D>0\) for a quadratic equation, then its roots are always equal. Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsIf the two roots of the equation \(2x^2+nx+8=0\) are equal, what is the value of \(n^2\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsIf the two roots of the quadratic equation \(mx^2+6x+3=0\) are equal, what is the value of \(m\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsIf the two roots of the quadratic equation \(x^2+kx+16=0\) are equal, what is the value of \(k^2\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsWhat is the nature of the roots of the equation \(5x^2-20x+20=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsWhat is the discriminant \(D\) of the equation \(5x^2-20x+20=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsWhat is the nature of the roots of the equation \(2x^2+4x+2=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy