On the ellipse 4x^2+9y^2=1, the points a...

On the ellipse `4x^2+9y^2=1,` the points at which the tangents are parallel to the line `8x=9y` are (a) `(2/5,1/5)` (b) `(-2/5,1/5)` `(-2/5,-1/5)` (d) `(2/5,-1/5)`

A

`(2/5,1/5)`

B

`(-2/5,1/5)`

C

`(-2/5,-1/5)`

D

`(2/5,-1/5)~

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The correct Answer is:

B, D

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