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If a and c are positive real number and ...

If a and c are positive real number and the ellipse `x^2/(4c^2)+y^2/c^2=1` has four distinct points in common with the circle `x^2+y^2=9a^2`, then

A

`9ac-9a^2-2c^2 lt 0`

B

`6ac + 9a^2 - 2c^2 lt 0`

C

`9ac - 9a^2 - 2c^2 gt 0`

D

`6ac + 9a^2 -2c^2gt 0`

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The correct Answer is:
A
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