Ms. Veda created a table named Sports in a MySQL database, containing columns Game_id, P_Age, and G_name.
After creating the table, she realized that the attribute Category has to be added.
Help her to write a command to add the Category column.
Thereafter, write the command to insert the following record in the table: Game_id: G42 P\_Age: Above 18 G_name: Chess Category: Senior
-- Step 1: Add the Category column to the table
ALTER TABLE Sports ADD Category VARCHAR(20);
-- Step 2: Insert the given record into the table
INSERT INTO Sports (Game_id, P_Age, G_name, Category)
VALUES ("G42", "Above 18", "Chess", "Senior");
Explanation:
The ALTER TABLE statement is used to modify the structure of an existing table. The command ADD Category VARCHAR(20) adds a new column named Category with a data type of VARCHAR and a maximum length of 20 characters.
The INSERT INTO statement is used to add a new record to the table Sports. The column names and their corresponding values are specified.
The resulting table Sports will now include the record:
\[
\begin{array}{|c|c|c|c|}
\hline
\textbf{Game\_id} & \textbf{P\_Age} & \textbf{G\_name} & \textbf{Category} \\
\hline
G42 & Above 18 & Chess & Senior \\
\hline
\end{array}
\]
Differentiate between 'w' and 'a' file modes in Python.
\[ \begin{array}{|c|c|c|c|} \hline \textbf{S\_id} & \textbf{S\_name} & \textbf{Address} & \textbf{S\_type} \\ \hline S001 & Sandhya & Rohini & Day Boarder \\ S002 & Vedanshi & Rohtak & Day Scholar \\ S003 & Vibhu & Raj Nagar & NULL \\ S004 & Atharva & Rampur & Day Boarder \\ \hline \end{array} \]
\[ \begin{array}{|c|c|c|} \hline \textbf{S\_id} & \textbf{Bus\_no} & \textbf{Stop\_name} \\ \hline S002 & TSS10 & Sarai Kale Khan \\ S004 & TSS12 & Sainik Vihar \\ S005 & TSS10 & Kamla Nagar \\ \hline \end{array} \]
Write a function, c_words(), in Python that separately counts and displays the number of uppercase and lowercase alphabets in a text file, Words.txt
Write a user-defined function in Python named Puzzle(W, N) which takes the argument W as an English word and N as an integer and returns the string where every Nth alphabet of the word W is replaced with an underscore ("_").
Example: If W contains the word "TELEVISION" and N is 3, then the function should return the string "TE_EV_SI_N". Likewise, for the word "TELEVISION" if N is 4, the function should return "TEL_VIS_ON".
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).