I haven small bumpy white patches corner of my right eye and also spreading under both the eye lid. It is also under my eye.

Xanthelasma. Sounds like xanthelasma. This is benign, and can be surgically removed for cosmetic reasons.
Hypercholesterolemia. These deposits are concerning for a condition were too much cholesterol exists in your body. These may be xanthelasma. Many times these are not associated with excessive cholesterol but see your doctor and if overweight you may need a lipid specialist.