Question

Which of the following is equation of hyperbola with vertices \((\pm 2,0)\) and foci \((\pm 3,0)\)?

• A. \(\dfrac{x^2}{4}-\dfrac{y^2}{9}=1\)
• B. \(\dfrac{x^2}{4}+\dfrac{y^2}{9}=1\)
• C. \(\dfrac{x^2}{4}-\dfrac{y^2}{5}=1\)
• D. \(\dfrac{x^2}{5}-\dfrac{y^2}{4}=1\)

Hint:

For a hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\), vertices give \(a\), foci give \(c\), and use \(c^2=a^2+b^2\).

Answer 1

The Correct Option is C