Answer:
It's equally comfortable in an orchestra and a geometry textbook. What is it?
Something wholly unreal, yet seems real to I. Think my friend, tell me where does it lie?
Both old people and owls are said to be possessing this trait
I drive men mad for love of me. Easily beaten, never free.
I am the greatest teacher out of them all, but alas in the end I kill my pupils.
I have two eyes in the front and a lot of eyes on my tail