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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

Text Solution

Verified by Experts

The correct Answer is:
B
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  9. Find the derivative of x^(2)/2 + x + 1

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  10. Find the derivative of secx + cosecx

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  13. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 fr...

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  14. The length of the common chord of the ellipse ((x-1)^2)/9+((y-2)^2)/4=...

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  15. The eccentricity of ellipse ax^2 + by^2 + 2gx + 2fy + c = 0 if its axi...

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  16. A circle has the same center as an ellipse and passes through the foci...

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  17. The area of the rectangle formed by the perpendiculars from the centre...

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  18. An ellipse is inscribed in a circle and a point within the circle is c...

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  19. An ellipse slides between two perpendicular straight lines. Then id...

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