The hardy-weinberg law describes the characteristics of a genetic population under ideal circumstances. this principle states that gene frequencies in a population, under ideal conditions, would:
a. remain stable over time
b. display directional selection
c. develop zygomatic plasticity

a. remain stable over time

Explanation:

Hardy-Weinberg law -

It states that , if there is no evolutionary influence like the mate choice  ,  population bottleneck , sexual mutation , etc and the conditions are ideal in a population , then the gene and allele  frequencies in that particular population remain constant from generation to generation .

Hence , from the options given in the question , the correct answer is ( a ) remain stable over time .