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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