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1.
A combination of the adjective-Indignant and the noun- Ignorance.

IN-DIG-NANT/inˈdignənt/
Adjective:
Feeling or showing anger or annoyance at what is perceived as unfair treatment.

IG-NOR-ANCE \ˈig-n(ə-)rən(t)s\
: the state or fact of being ignorant : lack of knowledge, education, or awareness

INDIGNORANCE: The act of using anger, bombast, condescension, and/or intimidation to cover up for a person's lack of actual knowledge of a subject being debated or the weakness of one's own point of view/belief.
Every time he couldn't answer my question, or whenever I made a point that challenged HIS point, he started yelling his responses, and talking down to me, anything to disrespect me, anything to try to keep me from continuing to effectively challenge his argument. He was obviously scared, and didn't want to even entertain the fact that he could, quite possibly, be wrong. His actions were an obvious case of INDIGNORANCE.

This is commonly seen in people with extreme points of view.
by Fordois March 11, 2012
 
2.
Indignorance is when u are being indignant, just plain rude, mean, or a bitch and don't know why the hell you are acting that way. Its the act of being a bitch with no grounds.
She aint have to slap that poor old lady. That was just some indignorance!
by ThatBeyotch June 18, 2009