Ive seen many variations, very confused on how to solve these 3 problems.
Using sed:
Delete 1st line:
sed '1d' file-name
Delete 10th line:
sed '10d' file-name
Delete line # 5 to 10
sed '5,10d' file-name
All above sed commands will write output on stdout that you can redirect to another file if you want or use -i flag of sed to inline edit the file.
-i