A geometry problem by Venkatesh A

Geometry Level 2

Given that the two equations below is true, then the general equation of a conic a x 2 + 2 h x y + b y 2 + 2 g x + 2 f y + c = 0 ax^2+2hxy+by^2+2gx+2fy+c=0 cannot represent which of the following options?

h 2 = a b h^2=ab and a b c + 2 f g h − a f 2 − b g 2 − c h 2 = 0 abc+2fgh-af^2-bg^2-ch^2=0 .

Select one or more

A Pair of intersecting lines A Pair of parallel straight lines A single line (2 parallel lines coincide) Empty set

Venkatesh A by Venkatesh A , 17, India

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