The hyperbola \(\frac{{{{\rm{x}}^2}}}{{{{\rm{a}}^2}}} - \frac{{{{\rm{y}}^2}}}{{{{\rm{b}}^2}}} = 1\) passes through the point \(\left( {3\sqrt 5 ,{\rm{\;}}1} \right)\) and the length of its latus rectum is \(\frac{4}{3}\) units. The length of the conjugate is

The hyperbola \(\frac{{{{\rm{x}}^2}}}{{{{\rm{a}}^2}}} - \frac{{{{\rm{y

1.	The hyperbola \(\frac{{{{\rm{x}}^2}}}{{{{\rm{a}}^2}}} - \frac{{{{\rm{y}}^2}}}{{{{\rm{b}}^2}}} = 1\) passes through the point \(\left( {3\sqrt 5 ,{\rm{\;}}1} \right)\) and the length of its latus rectum is \(\frac{4}{3}\) units. The length of the conjugate is
A.	2 units
B.	3 units
C.	4 units
D.	5 units
Answer» D. 5 units