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  4. The equation of directrix of conic x2+2 x-y2+5=0 is

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Q. The equation of directrix of conic $x^2+2 x-y^2+5=0$ is

Conic Sections

Solution:

$(x+1)^2-y^2=-4 \Rightarrow \frac{y^2}{4}-\frac{(x+1)^2}{4}=1$
$\therefore e =\sqrt{2}$ and directrix is $y = \pm \frac{ b }{ e }$.