The correct statement regarding the process of replication in E.coli is found in Option D: "The DNA dependent DNA polymerase catalyses polymerization in 5' $\rightarrow$ 3' direction".

To elaborate, replication in E.coli involves the synthesis of new DNA strands from a DNA template. This synthesis is catalyzed by an enzyme known as DNA polymerase. DNA polymerases are key enzymes that add nucleotides to the growing DNA strand during replication. However, the key characteristic of these enzymes is their directionality. DNA polymerases can only add nucleotides to the 3' end of the DNA strand, thereby synthesizing new DNA in the direction of 5' $\rightarrow$ 3'.

This directional limitation is due to the structure of deoxyribonucleotide triphosphates (dNTPs) that are used as substrates by the enzyme. Each dNTP has a 5' phosphate group, a 3' hydroxyl group, and a nitrogenous base. The formation of DNA strands occurs via the formation of phosphodiester bonds between the 3' hydroxyl group of one nucleotide and the phosphate group at the 5' position of the next nucleotide. Therefore, nucleotides can only be added to the 3' end of the growing strand.

The other options are incorrect for the following reasons:

• Option A incorrectly states the direction of synthesis as $$3^{\prime} \rightarrow 5^{\prime}$$, which is impossible with the mechanics of DNA polymerases.
• Option B refers to DNA dependent RNA polymerase. This enzyme is indeed involved in transcription (synthesizing RNA from DNA), not replication, and synthesizes RNA in the $$5^{\prime} \rightarrow 3^{\prime}$$ direction.
• Option C incorrectly states that DNA polymerase can synthesize in both directions, which contradicts the inherent directional nature of this enzyme.

Therefore, understanding the precise enzyme mechanics and functionality helps in recognizing that Option D is the correct description of how DNA dependent DNA polymerase facilitates DNA replication in E.coli.