Question

For $6x^2 - 12y^2 = -36$ hyperbola, the lengths of conjugate axis and latus-rectum, respectively, are:

• A. $2\sqrt{3}$ and $4\sqrt{3}$
• B. $2\sqrt{6}$ and $\sqrt{6}$
• C. $2\sqrt{3}$ and $4\sqrt{6}$
• D. $2\sqrt{6}$ and $4\sqrt{3}$

Hint:

If the right side is $-1$ after standard division, it's a conjugate hyperbola. Be careful identifying $a^2$ and $b^2$ based on the sign, not magnitude.

Answer 1

The Correct Option is D