Let's carefully analyze the given table and the options to determine the most appropriate descriptions for [tex]\( X \)[/tex] and [tex]\( Y \)[/tex].
Here is the table provided:
[tex]\[
\begin{array}{|c|c|c|}
\hline
\text{Form} & \text{Shape} & \text{Associated disease} \\
\hline
\text{Coccus} & X & \text{Strep throat} \\
\hline
\text{Bacillus} & \text{Rod shaped} & Y \\
\hline
\text{Spirillum} & \text{Spiral} & \text{Cholera} \\
\hline
\end{array}
\][/tex]
We need to determine the best descriptions for [tex]\( X \)[/tex] and [tex]\( Y \)[/tex] from the given options:
1. [tex]\( X = \text{Spherical} \)[/tex]; [tex]\( Y = \text{E. coli} \)[/tex]
2. [tex]\( X = \text{Comma shaped} \)[/tex]; [tex]\( Y = \text{Whooping cough} \)[/tex]
3. [tex]\( X = \text{Oval shaped} \)[/tex]; [tex]\( Y = \text{S. aureus} \)[/tex]
4. [tex]\( X = \text{Rod shaped} \)[/tex]; [tex]\( Y = \text{Pneumonia} \)[/tex]
### Step-by-Step Analysis:
1. Coccus and [tex]\( X \)[/tex]:
- Coccus bacteria are generally known to be spherical in shape.
- Therefore, the most appropriate description for [tex]\( X \)[/tex] is Spherical.
So far, this matches with option 1.
2. Bacillus and [tex]\( Y \)[/tex]:
- Bacillus bacteria are rod-shaped and are associated with various diseases.
- Among the possible diseases associated with bacilli, E. coli is a bacterium that is typically rod-shaped and well-known.
By matching the above points with the table and the options provided, we observe that option 1 appears to best describe both [tex]\( X \)[/tex] and [tex]\( Y \)[/tex]:
[tex]\[
\begin{array}{|c|c|c|}
\hline
\text{Form} & \text{Shape} & \text{Associated disease} \\
\hline
\text{Coccus} & \text{Spherical} & \text{Strep throat} \\
\hline
\text{Bacillus} & \text{Rod shaped} & \text{E. coli} \\
\hline
\text{Spirillum} & \text{Spiral} & \text{Cholera} \\
\hline
\end{array}
\][/tex]
Therefore, the answer is:
[tex]\[ X = \text{Spherical}, \; Y = \text{E. coli} \][/tex]
The correct option is [tex]\(\boxed{1}\)[/tex].
