Question

Consider the following lists:
 

List I		List II
I	$\left\{x \in\left[-\frac{2 \pi}{3}, \frac{2 \pi}{3}\right]: \cos x+\sin x=1\right\}$	P	has two elements
II	$\left\{x \in\left[-\frac{5 \pi}{18}, \frac{5 \pi}{18}\right]: \sqrt{3} \tan 3 x=1\right\} $	Q	has three elements
III	$ \left\{x \in\left[-\frac{6 \pi}{5}, \frac{6 \pi}{5}\right]: 2 \cos (2 x)=\sqrt{3}\right\} $	R	has four elements
IV	$ \left\{x  \in\left[-\frac{7 \pi}{4}, \frac{7 \pi}{4}\right]: \sin x-\cos x=1\right\}$	S	has five elements
		T	has six elements

The correct option is:

• A. (I) → (P); (II) → (S); (III) → (P); (IV) → (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)

Answer 1

The Correct Option is B

The correct match is option (B) :(I) → (P); (II) → (P); (III) → (T); (IV) → (R)