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Q.
If the equation of the parabola is $x^2=-8 y$, then
Conic Sections
Solution:
The given equation is of the form $x^2=-4 a y$, where $a$ is positive.
Therefore, the focus is on $Y$-axis in the negative direction arid parabula uperis downiwards.
Comparing the given equation with standard form, we get $a=2$.
Therefore, the coordinates of the focus are $(0,-2)$ and the the equation of directrix is $y=2$ and the length of the latusrectum is $4 a$, i.e., 8 .