existing only in the imagination or fancy; not real; fancied: an imaginary illness; the imaginary animals in the stories of Dr. Seuss.
noun, plural imaginaries.
Mathematics, imaginary number.

1350–1400; Middle English < Latin imāginārius, equivalent to imāgin-, (stem of imāgō) image + -ārius -ary

imaginarily, adverb
imaginariness, noun
nonimaginarily, adverb
nonimaginarilyness, noun
nonimaginariness, noun
nonimaginary, adjective
preimaginary, adjective
unimaginary, adjective

imaginary, imaginative.

1. fanciful, visionary, shadowy, chimerical, baseless, illusory.

1. real. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
imaginary (ɪˈmædʒɪnərɪ, -dʒɪnrɪ)
1.  existing in the imagination; unreal; illusory
2.  maths involving or containing imaginary numbers. The imaginary part of a complex number, z, is usually written Imz

Collins English Dictionary - Complete & Unabridged 10th Edition
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Example sentences
All of us in our imaginary bodies, sharing an invented reality.
These prohibitions and quite a few more turn out to be imaginary monsters under
  the bed.
Brainstorm some names of imaginary prehistoric creatures if they were
  discovered in your local area.
Our mental maps of risk and safety rely too heavily on imaginary boundaries.
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