Conic Sections Question 35

Question: The auxiliary equation of circle of hyperbola $ \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 $ , is

Options:

A) $ x^{2}+y^{2}=a^{2} $

B) $ x^{2}+y^{2}=b^{2} $

C) $ x^{2}+y^{2}=a^{2}+b^{2} $

D) $ x^{2}+y^{2}=a^{2}-b^{2} $

Show Answer

Answer:

Correct Answer: A

Solution:

The equation is $ {{(x-0)}^{2}}+{{(y-0)}^{2}}=a^{2} $ .