The correct answer is option 4 - Mitochondria.

The mitochondria is a double-membraned organelle found in eukaryotic cells. It is responsible for producing energy in the form of ATP through cellular respiration. Like the nucleus, mitochondria also contain DNA.

Mitochondrial DNA (mtDNA) is a small, circular molecule that carries genetic information necessary for the production of proteins involved in energy production. It is inherited maternally, meaning it is passed on from the mother to her offspring.

The DNA in the mitochondria is separate from the DNA in the nucleus, and it has its own set of genes. It is believed that mitochondria were once free-living bacteria that were engulfed by ancestral cells and formed a symbiotic relationship. This theory is supported by the fact that mitochondria have their own DNA and are capable of replicating independently of the nucleus.

It is important to note that none of the other organelles mentioned in the options - Endoplasmic Reticulum, Golgi Apparatus, and Lysosomes - contain DNA. These organelles have different functions within the cell like protein synthesis, sorting and modifying proteins, and breaking down waste materials respectively, but they do not contain their own