Match the reactions in List-I with the features of their products in List-II and choose the correct option.

List - I	List - II
(P)	(1) Inversion of configuration
(Q)	(2) Retention of configuration
(R)	(3) Mixture of enantiomers
(S)	(4) Mixture of structural isomers
	(5) Mixture of diastereomers

The major products obtained from the reactions in List-II are the reactants for the named reactions mentioned in List-I. Match List-I with List-II and choose the correct option.

List - I	List - II
(P) Etard reaction	(1) Acetophenone $\stackrel{\mathrm{Zn}-\mathrm{Hg}, \mathrm{HCl}}{\longrightarrow}$
(Q) Gattermann reaction	(2) $$ \text { Toluene } \underset{\text { (ii) } \mathrm{SOCl}_2}{\stackrel{\text { (i) } \mathrm{KMnO}_4, \mathrm{KOH}, \Delta}{\longrightarrow}} $$
(R) Gattermann-Koch reaction	(3) $$ \text { Benzene } \underset{\text { anhyd. } \mathrm{AlCl}_3}{\stackrel{\mathrm{CH}_3 \mathrm{Cl}}{\longrightarrow}} $$
(S) Rosenmund reduction	(4) $$ \text { Aniline } \underset{273-278 \mathrm{~K}}{\stackrel{\mathrm{NaNO}_2 / \mathrm{HCl}}{\longrightarrow}} $$
	(5) $$ \text { Phenol } \stackrel{\mathrm{Zn}, \Delta}{\longrightarrow} $$

Let $S=(0,1) \cup(1,2) \cup(3,4)$ and $T=\{0,1,2,3\}$. Then which of the following statements is(are) true?

Let $T_1$ and $T_2$ be two distinct common tangents to the ellipse $E: \frac{x^2}{6}+\frac{y^2}{3}=1$ and the parabola $P: y^2=12 x$. Suppose that the tangent $T_1$ touches $P$ and $E$ at the points $A_1$ and $A_2$, respectively and the tangent $T_2$ touches $P$ and $E$ at the points $A_4$ and $A_3$, respectively. Then which of the following statements is(are) true?