The length of the latus rectum and the length of the transverse axis of a hyperbola are 4√3 & 2√3 respectively, then the equation of the hyperbola can be
x23−y26=1
Let the transverse axis be along the x-axis such that the hyperbola is of the form
x2a2−y2b2=1
Latus Rectum = 2b2a=4√3
Also, 2a=2√3⇒a=√3
2b2√3=4√3⇒b2=6
The equation of the hyperbola is
x23−y26=1