Hi, Swarnaltha, you said you have two problems..telogen effluvium and facial and periorbital hypermelanosis. And you suffer from hypothyroidism. You take eltroxin 100 mg daily. Telogen effluvim..means hair fall in telogen stage. There are many causes. You have definite cause of thyroid dysfuction. Stress,anxiety,worries, Anaemia, vitamin deficiency,drugs or other internal disease might be other causes. Bitin 10 mg tablet may be taken for few months to few years woud be helpful. Take iron,folic acid and vitamin E also.Apply mild steroid lotion on the scalp daily at night. Take treatment of underlying cause. Monitor thyroid function tests. Hypermelanosis around eyes..periorbital melanosis may be also related with above factors. Stress and worries are the major factors. Vitamin C and glutathion tablets may be taken for long time. Apply kojic acid containing gel twice a day on affected parts. Have patience and avoid worries. I hope you your pigmentation around eyes may be reduced. I think, both the problems might reduce after few months. Have treatment under the guidance of expert dermatologist. I hope you got my answer. Thanks. Dr. Ilyas Patel MD