An electrically variable transmission having two motor/generators provides power-split, electrically variable power flow along dual power paths and provides multiple operating modes, including an electrically variable input-split mode. The transmission also includes a differential gear set having five gear elements. A first of the motor/generators is continuously connected to one of the gear elements and a second of the motor/generators is separately selectively connectable to two of the other gear elements. When the second motor/generator is connected to both of the gear elements, a fixed speed ratio can be established; thus, no lock-up clutch is necessary to achieve a fixed speed ratio through the differential gear set.