Conic Sections Question 342
Question: The equation of the ellipse whose one of the vertices is (0,7) and the corresponding directrix is $ y=12 $ , is
Options:
A) $ 95x^{2}+144y^{2}=4655 $
B) $ 144x^{2}+95y^{2}=4655 $
C) $ 95x^{2}+144y^{2}=13680 $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Vertex (0,7), directrix $ y=12 $ , $ b=7 $
Also $ \frac{b}{e}=12 $
therefore $ e=\frac{7}{12},\ a=7\sqrt{\frac{95}{144}} $
Hence equation of ellipse is $ 144x^{2}+95y^{2}=4655 $ .
BETA
