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If the line x+2y+4=0 cutting the ellipse...

If the line `x+2y+4=0` cutting the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` in points whose eccentric angies are `30^(@) and 60^(@)` subtends right angle at the origin then its equation is

A

`x^(2)/8+y^(2)/4=1`

B

`x^(2)/16+y^(2)/4=1`

C

`x^(2)/4+y^(2)/16=1`

D

None of the above

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The correct Answer is:
B
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