Kesha: Swears Under Oath ... Dr. Luke Did NOT Sexual Assault or Drug Me

Kesha now claims Dr. Luke drugged and raped her, but under oath she flatly denied it.

TMZ has obtained portions of a Kesha deposition taken in 2011. Kesha and Luke had both been sued by a manager, and she was asked under oath about comments her mom allegedly made against Luke.

The video, which we obtained by a Luke source who heavily edited snippets of the deposition, shows a very relaxed Kesha denying the allegations she's now making against Luke.

The video includes snippets from the deposition of Kesha's mom, in which she also denies being told anything about untoward conduct involving Luke and her daughter.

Kesha is trying to get out of her contract with Sony ... based on her claims Sony's star producer drugged and raped her back in 2006 when she first signed with the label.