Which of the following can be measured with an antenna analyzer?

An antenna analyzer is essentially an RF impedance meter. It is designed to measure the complex electrical characteristics of whatever is connected to its terminals, which allows you to accurately measure the resistance, reactance, and overall impedance of a coaxial cable or an antenna system. It cannot measure the power output from a transmitter; in fact, transmitting into an antenna analyzer will almost certainly destroy its sensitive internal measurement bridge. Furthermore, an analyzer cannot measure spatial or radiation characteristics like the front-to-back ratio or the gain of a directional antenna. Those parameters describe how the antenna radiates a signal through the air and must be measured using a separate receiver or field strength meter located at a distance.