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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 angles are 30◦ and 60◦ subtends a right angles 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 these

Text Solution

Verified by Experts

The correct Answer is:
B
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