1.

The equation of tangent and normal at point (3, ?2) of ellipse \[4{{x}^{2}}+9{{y}^{2}}=36\] are       [MP PET 2004]

A.            \[\frac{x}{3}-\frac{y}{2}=1,\ \frac{x}{2}+\frac{y}{3}=\frac{5}{6}\]           
B.            \[\frac{x}{3}+\frac{y}{2}=1,\ \frac{x}{2}-\frac{y}{3}=\frac{5}{6}\]
C.            \[\frac{x}{2}+\frac{y}{3}=1,\ \frac{x}{3}-\frac{y}{2}=\frac{5}{6}\]           
D.            None of these
Answer» B.            \[\frac{x}{3}+\frac{y}{2}=1,\ \frac{x}{2}-\frac{y}{3}=\frac{5}{6}\]


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