A) 3y = 5
B) y = 5
C) 3y = 25
D) y = 3
Correct Answer: C
Solution :
The equation of the ellipse is \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{25}=1\] where a = 4, b = 5 and\[e=\sqrt{1-\frac{16}{25}}=\frac{3}{5}\] \[\therefore \]Equation of directrix is\[y=\pm \left( \frac{5}{3/5} \right)\] \[=\pm \frac{25}{3}\] \[\Rightarrow \] \[3y=25\]is one of equation of directrix.You need to login to perform this action.
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