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On the ellipse 4 x^(2)+9 y^(2)=1, the po...

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

Text Solution

Verified by Experts

The correct Answer is:
B
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