Question: 1) Determine k and t ( IR) such that the plane curve x 2 + k x + t y 2 + 8 y -

1) Determine k and t (∈ IR) such that the plane curve x² + k x + t y² + 8 y - 4 = 0 the lines with equation x - 2 y = 0 and x + 2 y - 4 = 0 as would have asymptotes.

Make also a drawing showing the main characteristics of the curve.

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