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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 \(12x^2-12x+3=0\)?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsAssertion: The quadratic equation \(7x^2-14x+7=0\) has equal roots. Reason: Its discriminant is \(D=0\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsFor the equation \(x^2-2(k+4)x+25=0\) to have equal roots, what are the values of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsIf the quadratic equation \(kx^2+10x+5=0\) has equal roots and \(k\ne0\), what is the value of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsIf the two roots of \(2x^2+mx+18=0\) are equal, what are the possible values of \(m\)?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsIf the two roots of the equation \(x^2+kx+36=0\) are equal, what are the possible values of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsIf (x^2-14x+k=0) has equal roots, what is the value of (k)?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsChoose the correct statement about the nature and value of the roots of \\(16x^2+24x+9=0\\).Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsWhat is the value of the equal root of the equation \(9x^2-6x+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsIf \(a\) is a real number and \(x^2-2(a+4)x+(a^2+8a+16)=0\), what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsWhat will λ be for real and equal roots of (λ+1)x² − 2(λ−2)x + (λ+1) = 0?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsIf x^2-2(k-3)x+k^2-6k+9=0 is a quadratic equation, what will be the nature of its roots for all real values of k?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsIf the discriminant of a quadratic equation is \(D=-(b+3)^2\), when will its roots be real and equal?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsIf the quadratic equation \(x^2-2hx+h^2+8h=0\) has equal roots, what is the value of \(h\)?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsFor the quadratic equation \(x^2+2gx+g^2-6g+11=0\) to have equal roots, what should be the value of \(g\)?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsIf \(w\) is a real number, what is the nature of the roots of the equation \(4x^2-4wx+w^2=0\)?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsWhen will the two roots of the equation \(x^2-(m+n)x+mn=0\) be equal?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsFor the quadratic equation \(x^2-(a+6)x+6a=0\) to have equal roots, what is the value of \(a\)?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsIf the equation \(x^2-2\sqrt{n}x+4=0\) has real and equal roots, what is the value of \(n\)?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsFor a real parameter \(t\), which value of \(t\) will make the equation \((t-1)x^2-2(t+2)x+(t+5)=0\) have equal roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard