Find the point on the ellipse 4x ^(2) + ...

Find the point on the ellipse `4x ^(2) + 9y ^(2) = 1`at which the tangent are
parallel to `8x = 9 y` are :

A

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

B

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

C

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

D

`(- (3)/(5), - (2)/(5)) or ((3)/(5), (2)/(5))`

Verified by Experts

The correct Answer is:

B

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