Consider the given data with frequency distributionMatch each entry in List-I to the correct entries in List-II.
The correct option is:
$(P) \rightarrow (3)$ $(Q) \rightarrow (2)$ $(R) \rightarrow (4)$ $(S) \rightarrow (5)$
$(P) \rightarrow (3)$ $(Q) \rightarrow (2)$ $(R) \rightarrow (1)$ $(S) \rightarrow (5)$
$(P) \rightarrow (2)$ $(Q) \rightarrow (3)$ $(R) \rightarrow (4)$ $(S) \rightarrow (1)$
$(P) \rightarrow (3)$ $(Q) \rightarrow (3)$ $(R) \rightarrow (5)$ $(S) \rightarrow (5)$
Consider the lines \( L_1 \) and \( L_2 \) defined by\( L_1 : x\sqrt{2} + y - 1 = 0 \) and \( L_2 : x\sqrt{2} - y + 1 = 0 \)For a fixed constant \( \lambda \) , let \( C \) be the locus of a point \( P \) such that the product of the distance of \( P \) from \( L_1 \) and the distance of \( P \) from \( L_2 \) is \( \lambda^{2} \). The line \( y = 2x + 1 \) meets \( C \) at two points \( R \) and \( S \), where the distance between \( R \) and \( S \) is \( \sqrt{270} \) .Let the perpendicular bisector of \( RS \) meet \( C \) at two distinct points \( R' \) and \( S' \). Let \( D \) be the square of the distance of the distance between \( R' \) and \( S' \)The value of \( D \) is _____
