Question

The equation of the ellipse whose one of the vertices is (0, 7) and the corresponding directrix is y = 12, is

• A. 95x² + 144y² = 4655
• B. 144x² + 95y² = 4655
• C. 95x² + 144y² = 13680
• D. None of these

Answer 1

Answer: (B)

144x² + 95y² = 4655

Answer 2

Vertex (0, 7), directrix y = 12, ∴ b = 7

Also $\frac{b}{e}$= 12 ⇒ e = $\frac{7}{12}$, a = 7 $\sqrt{\frac{95}{144}}$

Hence equation of ellipse is 144x² + 95y² = 4655.