Step 1: Understanding the role of cysteine in wool production.
Cysteine is a sulfur-containing amino acid crucial for forming disulfide bonds in keratin, which enhances the strength and quality of wool. Genes involved in the biosynthesis of cysteine are targeted for genetic modification.
Step 2: Key bacterial genes.
The bacterial genes \(cys E\) and \(cys M\) are responsible for the biosynthesis of cysteine. These genes are cloned and introduced into sheep to enhance wool quality and production.
Step 3: Explanation of other options.
Option (A): cys E, cys M. Correct. These are the genes involved in cysteine biosynthesis.
Option (B): cys F, cys G. Incorrect. These genes are not involved in cysteine biosynthesis.
Option (C): cys F, cys M. Incorrect. Only \(cys M\) is relevant; \(cys F\) is not involved.
Option (D): lac y, lac a. Incorrect. These are lactose metabolism genes and are unrelated to wool production.
Step 4: Conclusion.
The genes \(cys E\) and \(cys M\) are critical for improving wool quality. \[ \therefore \text{The correct answer is: (A)}. \]
Annealing process of PCR is performed at \(\_\_\_\) temperature.
Given, the function \( f(x) = \frac{a^x + a^{-x}}{2} \) (\( a > 2 \)), then \( f(x+y) + f(x-y) \) is equal to