The basic scheme of the essential steps involved in the process of recombinant DNA technology is summarised below in the form of a flow diagram. Study the given flow diagram and answer the questions that follow.
(a) What is the technical term used for Step 4 in the above process?
(b) Which of the given two combinations of restriction enzyme should be used in Step 1? Justify your answer.
(i) EcoR I to cut the plasmid and Hind III to cut the alien DNA.
(ii) EcoR I to cut both the plasmid and alien DNA.
(a) Step 1: Step 4 involves producing multiple copies of the recombinant DNA.
Step 2: The correct technical term for this process is cloning.
Step 3: Cloning allows amplification of the gene of interest inside the host cell.
(b) Step 1: To ligate both vector and foreign DNA, compatible ends are required.
Step 2: If different enzymes (like EcoR I and Hind III) are used, the ends will not match and ligation will be unsuccessful.
Step 3: Therefore, the correct option is (ii): EcoR I to cut both the plasmid and alien DNA.
Step 4: Using the same restriction enzyme ensures that both DNA fragments have complementary sticky ends that can easily join.
Answer the following questions:
(a) [(i)] Explain how some strains of Bacillus thuringiensis produce proteins that kill certain insects such as lepidopterans but do not kill the Bacillus.
[(ii)] How is the above mechanism exploited for the production of Bt cotton plant by biotechnologists?
(b) [(i)] Explain how the amplification of gene of interest is done using PCR.
[(ii)] State two applications of the desired amplified fragment of DNA.
Prove that:
\( \tan^{-1}(\sqrt{x}) = \frac{1}{2} \cos^{-1}\left( \frac{1 - x}{1 + x} \right), \quad x \in [0, 1] \)