Consider the following lists:
List-I (I) $\left\{ x \in \left[ - \frac { 2 \pi } { 3 } , \frac { 2 \pi } { 3 } \right] : \cos x + \sin x = 1 \right\}$ (II) $\left\{ x \in \left[ - \frac { 5 \pi } { 18 } , \frac { 5 \pi } { 18 } \right] : \sqrt { 3 } \tan 3 x = 1 \right\}$ (III) $\left\{ x \in \left[ - \frac { 6 \pi } { 5 } , \frac { 6 \pi } { 5 } \right] : 2 \cos ( 2 x ) = \sqrt { 3 } \right\}$ (IV) $\left\{ x \in \left[ - \frac { 7 \pi } { 4 } , \frac { 7 \pi } { 4 } \right] : \sin x - \cos x = 1 \right\}$
List-II (P) has two elements (Q) has three elements (R) has four elements (S) has five elements (T) has six elements
The correct option is:
(A) $( \mathrm { I } ) \rightarrow ( \mathrm { P } ) ; ( \mathrm { II } ) \rightarrow ( \mathrm { S } ) ; ( \mathrm { III } ) \rightarrow ( \mathrm { P } ) ; ( \mathrm { IV } ) \rightarrow ( \mathrm { S } )$
(B) (I) → (P); (II) → (P); (III) → (T); (IV) → (R)
(C) (I) → (Q); (II) → (P); (III) → (T); (IV) → (S)
(D) (I) → (Q); (II) → (S); (III) → (P); (IV) → (R)