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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))`

Text Solution

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The correct Answer is:
B, D
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