To all the answers already posted I'd add:

To chase a [chimera][1]:

• a fanciful mental illusion or fabrication.

• In Greek Mythologya chimera was a fire-breathing female monster usually represented as a composite of a lion, goat, and serpent. It is now used an unattainable goal.

The Free dictionary [1]: http://www.thefreedictionary.com/chimera

To all the answers already posted I'd add:

To chase a chimera:

• a fanciful mental illusion or fabrication.

• In Greek Mythologya chimera was a fire-breathing female monster usually represented as a composite of a lion, goat, and serpent. It is now used an unattainable goal.

The Free dictionary

To allthe answers already posted I'd add:

To chase a [chimera][1]:

• a fanciful mental illusion or fabrication.

• In Greek Mythologya chimera was a fire-breathing female monster usually represented as a composite of a lion, goat, and serpent.It is now used an unattainable goal.

The Free dictionary [1]: http://www.thefreedictionary.com/chimera

To all the answers already posted I'd add:

To chase a [chimera][1]:

• a fanciful mental illusion or fabrication.

• In Greek Mythologya chimera was a fire-breathing female monster usually represented as a composite of a lion, goat, and serpent.  It is now used an unattainable goal.

The Free dictionary [1]: http://www.thefreedictionary.com/chimera