On the ellipse \[4{{x}^{2}}+9{{y}^{2}}=1\], the points at which the tangents are parallel to the line \[8x=9y\] are [IIT 1999]

\[\left( -\frac{2}{5},\ -\frac{1}{5} \right)\]

\[\left( \frac{2}{5},\ \frac{1}{5} \right)\]

\[\left( -\frac{2}{5},\ \frac{1}{5} \right)\]

\[\left( -\frac{2}{5},\ -\frac{1}{5} \right)\]

\[\left( \frac{2}{5},\ -\frac{1}{5} \right)\]

On the ellipse \[4{{x}^{2}}+9{{y}^{2}}=1\], the points at which the ta

1.	On the ellipse \[4{{x}^{2}}+9{{y}^{2}}=1\], the points at which the tangents are parallel to the line \[8x=9y\] are [IIT 1999]
A.	\[\left( \frac{2}{5},\ \frac{1}{5} \right)\]
B.	\[\left( -\frac{2}{5},\ \frac{1}{5} \right)\]
C.	\[\left( -\frac{2}{5},\ -\frac{1}{5} \right)\]
D.	\[\left( \frac{2}{5},\ -\frac{1}{5} \right)\]
Answer» C. \[\left( -\frac{2}{5},\ -\frac{1}{5} \right)\]

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On the ellipse \[4{{x}^{2}}+9{{y}^{2}}=1\], the points at which the tangents are parallel to the line \[8x=9y\] are [IIT 1999]

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