Final answer:
Rosacea is the skin condition with telangiectasia and pimples but no blackheads, distinguishing it from other similar conditions like acne vulgaris. The correct option is b).
Step-by-step explanation:
The skin condition described in the question, which presents with telangiectasia (small dilated blood vessels near the surface of the skin) and pimples, but no blackheads, is most consistent with rosacea.
Rosacea is a chronic skin disorder characterized by redness, pimples, and sometimes thickened skin. Unlike acne vulgaris, rosacea does not feature the blackheads (open comedones) typical of acne, making it distinct from other skin conditions.
It is noted for its vascular changes (telangiectasia) and often inflamed pustules or papules while lacking the comedogenic aspect of acne. Option b) is the correct one.