Yes, they [both] do. In particular, nuclear Rna synthesis takes place in the Nucleoli.
DNA synthesis, RNA synthesis and cell reproduction
They are organelles that control information in the cell.
Nucleus - holds genomic DNA in eukaryotes. The nucleus is the most conspicuous organelle found in a eukaryotic cell. It houses the cell's chromosomes and is the place where almost all DNA replication and RNA synthesis occur.
DNA remains in nucleus .
In Biology, the nucleus of a cell acts as a storage center for DNA in the cell. Think of the nucleus as a storage for the blueprints (the DNA) of the cell rather than a brain. The DNA is stored inside the nucleus until needed for DNA replication. It is then extracted from the nucleus through pores in the membrane and into the endoplasmic reticulum where the DNA replication and later the protein synthesis occur.
inside the nucleus
Both of these 'Distinct Processes' occur within the Cell's Nucleus.
In the Nucleus
nucleus
3'->5'
Transcription is the synthesis of messenger RNA from DNA in the nucleus.
it occurs in the nucleus...