1 If you look at someone or something keenly, you watch them very closely, and notice every detail. :
2 in an eager way:
3 If something is keenly priced, it is cheap compared to other things of the same kind:
Both are keenly interested, but have not provided plans.
NASA scientists were keenly disappointed when the Voyager 1 spacecraft flew by Titan in 1980.
His keenly intelligent mind and passion for building systems helped him create an entirely new company.
The child advanced timidly towards her brother and glanced keenly at all present.