Plants with parallel venation have fibrous roots because they don't need much water for their growth and thus need not to distribute much in their leaves.Tap roots and fibrous roots have different water absorbing capacities. Fibrous roots form a dense network of roots in the top soil and they absorb water from the top soil. While tap roots are long and thick with a greater surface area and they reach the deeper layers of soil. So, they are more efficient in water absorption from deeper layers. So, plants with tap root needs more water for their growth and development. While plants with fibrous roots do not need much water.