Which of the following equations does not rep | vedclass

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(C) general second-degree equation $Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0$ represents a parabola if the discriminant $B^2 - 4AC = 0$.For option $A$: $A=

Vedclass · Accepted Answer

$2x^2 + y^2 - 4xy = 8$

Vedclass · Answer

(C) general second-degree equation $Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0$ represents a parabola if the discriminant $B^2 - 4AC = 0$.For option $A$: $A=4, B=-12, C=9$. Discriminant $B^2 - 4AC = (-12)^2 - 4(4)(9) = 144 - 144 = 0$. This is a parabola.For option $B$: $A=4, B=-12, C=9$. Discriminant $B^2 - 4AC = (-12)^2 - 4(4)(9) = 144 - 144 = 0$. This is a parabola.For option $C$: $A=2, B=-4, C=1$. Discriminant $B^2 - 4AC = (-4)^2 - 4(2)(1) = 16 - 8 = 8$. Since $8 
eq 0$,this does not represent a parabola (it represents a hyperbola as $B^2 - 4AC > 0$).

Which of the following equations does not represent a parabola?

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