A) \[95{{x}^{2}}+144{{y}^{2}}=4655\]
B) \[144{{x}^{2}}+95{{y}^{2}}=4655\]
C) \[95{{x}^{2}}+144{{y}^{2}}=13680\]
D) None of these
Correct Answer: B
Solution :
Vertex (0,7), directrix \[y=12\], \ \[b=7\] Also \[\frac{b}{e}=12\]Þ \[e=\frac{7}{12},\ a=7\sqrt{\frac{95}{144}}\] Hence equation of ellipse is \[144{{x}^{2}}+95{{y}^{2}}=4655\].
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