Conic Sections Question 343

Question: The equation $ 2x^{2}+3y^{2}=30 $ represents

[MP PET 1988]

Options:

A) A circle

B) An ellipse

C) A hyperbola

D) A parabola

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{x^{2}}{(30/2)}+\frac{y^{2}}{(30/3)}=1 $

therefore $ \frac{x^{2}}{15}+\frac{y^{2}}{10}=1 $ .