I have a table student with the following columns:
no - integer
name - string
startdate - date
enddate - date.
Date format is MM/DD/YYYY.
I will give a date as input. Now I need a query the inputdate which found in between the start and end date.
For an example I will give 04/14/2012, then the query should return the 1st record as in the figure.
(because input date (04/14/2012) is found in between the 04/10/2012 to 04/20/2012)
Please help me.

The issue you are having is caused by your assumption that sqlite has a date/datetime type when in fact it doesn’t.
I suggest you read the following http://www.sqlite.org/datatype3.html to have a better understanding of sqlite types.
The dates in the
MM/DD/YYYYformat are handled as TEXT by sqlite, and so those dates are compared as strings. For example,02/01/2012is considered bigger than01/02/2012by sqlite if compared directly.You will need to transform those dates to a format that can be string-compared. Here is an example: