Question

For a hyperbola \[ \frac{x^2}{a^2}-\frac{y^2}{b^2}=1, \] the distance between its vertex and focus lying on the positive X-axis is 2. If the length of its latus rectum is 13, then the eccentricity is:

• A. \(\sqrt{2.25}\)
• B. \(2.50\)
• C. \(1.75\)
• D. \(2.00\)

Hint:

For hyperbola questions involving focus and vertex, replace \(c\) immediately by \(ae\).

Answer 1

The Correct Option is D