How can I determine type of mysql database : whether it is InnoDB or MyISAM?

To determine the storage engine being used by a table, you can use show table status. The Engine field in the results will show the database engine for the table. Alternately, you can select the engine field from information_schema.tables:

select engine 
from   information_schema.tables 
where  table_schema="schema_name"
   and table_name="table_name" 

You can change between storage engines using alter table:

alter table the_table engine = InnoDB;

Where, of course, you can specify any available storage engine.