The answer to your first question is:
The evidence that supports the endosymbiotic theory of the development of mitochondria inside a eukaryotic cell is option d) Mitochondria have ribosomes and circular DNA to produce their own proteins.
According to the endosymbiotic theory, mitochondria originated from free-living aerobic bacteria that were engulfed by a host cell and eventually evolved into a symbiotic relationship with the host cell. This theory is supported by several lines of evidence, including:
Mitochondria have their own DNA that is circular, like that of bacteria.
Mitochondria have their own ribosomes that are more similar to bacterial ribosomes than to eukaryotic ribosomes.
Mitochondria reproduce by fission, similar to bacteria.
Antibiotics that target bacterial ribosomes also target mitochondrial ribosomes.
All of these pieces of evidence support the idea that mitochondria were once free-living bacteria that were engulfed by a host cell and evolved into an organelle within the eukaryotic cell. Option d) Mitochondria have ribosomes and circular DNA to produce their own proteins, is a specific piece of evidence that supports this theory.
And now for the second question:
Option b) The DNA structure of mitochondria and chloroplasts are linear, like the cell's DNA, does not support the theory of endosymbiosis.
The endosymbiotic theory proposes that mitochondria and chloroplasts were once free-living bacteria that were engulfed by a host cell and evolved into an organelle within the eukaryotic cell. Evidence supporting this theory includes:
a) The DNA sequence of mitochondria and chloroplasts are more similar to bacterial DNA sequences.
c) The size of mitochondria and chloroplasts is similar to free-living bacterial cells.
d) Mitochondria and chloroplasts can divide by binary fission independently of the division of the eukaryotic cell.
However, the DNA structure of mitochondria and chloroplasts is not linear, but rather circular, which is more similar to the DNA structure of bacteria. This circular DNA is one of the key pieces of evidence supporting the endosymbiotic theory.
Therefore, option b) The DNA structure of mitochondria and chloroplasts are linear, like the cell's DNA, does not support the theory of endosymbiosis.