Based on the information available, it is necessary to carry a printed copy of your AP EAPCET (formerly EAMCET) application form to the examination center .

The official guidelines explicitly mention the application form as one of the essential documents you must bring on the day of the exam. Along with your admit card, you will need to carry the printed AP EAPCET application form.   Regarding the color of the printout, the guidelines specify that you need to affix your recent passport-size color photograph onto the printed application form. This photograph needs to be attested by a Gazetted Officer or your college principal. You will also be required to sign the application form and provide your left-hand thumb impression in front of the invigilator at the exam center.

While the official information emphasizes the need for a color photograph to be affixed and attested on the application form, it doesn't explicitly state that the entire application form needs to be a color xerox. However, considering that a color photograph is mandatory on it, it would be a safe approach to carry a color xerox of your application form to ensure clarity of all details, including the photograph.