Hi Viji,
No, Bio chemistry and chemistry are different .
Biochemistry composed of both chemistry and biology. Chemistry is basically a separate subject of organic and inorganic chemistry.
Both the fields are full of wide career options.
Don't be confuse. You can do B.Sc in many courses like Biotechnology, Botany, Physics, life science, etc.
There are many good colleges offering these courses in Delhi University.
Jamia millia islamia also provide , these courses but you have to give entrance for that.
Make a wise choice.
Best of luck!!!