A) \[(-2a,0)\]and\[x=4\]
B) \[(0,2a)\]and\[y=-2a\]
C) \[(0,-2a)\]and\[y=2a\]
D) \[[2a,0)\]and\[x=-2a\]
Correct Answer: C
Solution :
We know that for the parabola \[{{x}^{2}}=-4ay,\] Focus is\[(0,-a)\]and directrix is\[y=a\] Now, we have the curve \[{{x}^{2}}=-8ay\] \[\Rightarrow \] \[{{x}^{2}}=-4(2a)y\] \[\therefore \] Focus is \[(0,-2a)\] and directrix is \[y=2a.\]
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