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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।

MathematicsWhat is the nature of the roots of the equation \\(5x^2-2\\sqrt{30}x+6=0\\)?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsWhat is the nature of the roots of the quadratic equation \(2x^2-6\sqrt{2}x+9=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsHow will the parabola \(y=x^2-2kx+k^2\) intersect the x-axis?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf a quadratic has discriminant D = 25 - 4q², what are the values of q for equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsThe discriminant of a quadratic equation is D = (s − 2)^2. What must be the value of s for the equation to have equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsWhich of the following quadratic equations has equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsFor the quadratic equation \(3x^2-2(2k+1)x+(k+1)^2=0\) to have equal roots, what are the values of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf \\(x^2+2(m-2)x+(m^2-3m+4)=0\\) has equal roots, what is the value of \\(m\\)?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsFor which values of \(\lambda\) does the equation \(x^2-2\lambda x+\lambda=0\) have equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsWhat is the nature of the roots of the quadratic equation \(3x^2-2\sqrt{6}x+2=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf \(k\neq 0\) and \(kx^2-2(k+1)x+(k+3)=0\) is a quadratic equation, what must be the value of \(k\) for it to have equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsFor which value of \(k\) will the two roots of the quadratic equation \(2x^2-(k+4)x+2k=0\) be equal?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsFor what value of \(k\) will the quadratic equation \(2x^2-(k+4)x+2k=0\) have equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsWhat is the nature of the roots of the equation \(4x^2-4\sqrt{3}x+3=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf the two roots of the equation \(x^2+(k+2)x+9=0\) are equal, what are the possible values of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 39Hard MathematicsFor which value of p will px²+6x+3=0 have equal roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsHow will the roots of the quadratic equation (x^2+6x+9=0) be?Class 10Quadratic EquationsNature of RootsLevel 39Hard MathematicsIf the quadratic equation \(px^2-18x+9=0\) has equal roots and \(p\neq 0\), what is the value of \(p\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsFor the quadratic equation \\(4x^2-9x+q=0\\) to have two real and equal roots, what should be the value of \\(q\\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf \(a\ne0\), what is the condition for the quadratic equation \(ax^2+bx+c=0\) to have two equal real roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium