Let $l_{1}$ and $l_{2}$ be the lines $\vec{r_{1}} = λ (\hat{i} + \hat{j} + \hat{k})$ and $\vec{r_{2}} = (\hat{j} - \hat{k}) + μ (\hat{i} + \hat{k}),$ respectively. Let X be the set of all the planes H that contain the line $l_{1} .$ For a plane H, let d(H) denote the smallest possible distance between the points of $l_{2}$ and H. Let $H_{0}$ be plane in X for which $d (H_{0})$ is the maximum value of d(H) as varies over all planes in X. Match each entry in List-I to the correct entries in List-II.

List-I

List-II
P) The value of $d (H_{0})$ is 1) 0
Q) The distance of the point (0,1,2) from $H_{0}$ is 2) $\frac{1}{\sqrt{3}}$
R) The distance of origin from $H_{0}$ is 3) $\sqrt{3}$
S)
The distance of origin from the point of intersection of planes
y =z, x= 1 and $H_{0}$ is
4) $\sqrt{2}$
5) $\frac{1}{\sqrt{2}}$
The correct option is :

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$P \to 5; Q \to 4; R \to 1; S \to 3$

$P \to 2; Q \to 3; R \to 1; S \to 2$

$P \to 2; Q \to 4; R \to 5; S \to 3$

$P \to 5; Q \to 3; R \to 4; S \to 2$

answer is B.

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	List-I		List-II
P)	The value of $d (H_{0})$ is	1)	0
Q)	The distance of the point (0,1,2) from $H_{0}$ is	2)	$\frac{1}{\sqrt{3}}$
R)	The distance of origin from $H_{0}$ is	3)	$\sqrt{3}$
S)	The distance of origin from the point of intersection of planes y =z, x= 1 and $H_{0}$ is	4)	$\sqrt{2}$
		5)	$\frac{1}{\sqrt{2}}$