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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।

MathematicsFor the quadratic equation \((a-1)x^2+2ax+(a+3)=0\) to have equal roots, what is the value of \(a\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor which value of (m) will (m x^2+(m+3)x+3=0) have equal roots and remain a quadratic equation?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor the equation \(x^2-2(a-3)x+a^2-9=0\) to have real and equal roots, what should be the value of \(a\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor the two roots of the equation \(x^2-(r+4)x+4r=0\) to be equal, what must be the value of \(r\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor which value of \(a\) will the equation \(x^2-(a+3)x+3a=0\) have equal 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 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 MathematicsWhich statement is correct for 4x² − 4x + 1 = 0?Class 10Quadratic EquationsNature of RootsLevel 37Easy 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 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 MathematicsIf the two roots of 8x^2+px+16=09 are equal, which values of 8p9 are possible?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhich of the following quadratic equations has two real and equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhat is the nature of the roots of the quadratic equation \(3x^2-6x+3=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhat is the nature of the roots of the equation 9x² + 12x + 4 = 0?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsAssertion: The equation \(x^2-10x+25=0\) has equal roots. Reason: Its discriminant is \(D=0\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 37Medium