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CUET · MATHS · PYQ PAPER 2023

Match List - I with List - II regarding the value of the following.
List - IList - II
(A) \(\cos ^{-1}\left(\cos \frac{7 \pi}{6}\right)\)(I) \(\frac{\pi}{2}\)
(B) \(\cos ^{-1}\left(\cos \frac{5 \pi}{4}\right)\)(II) \(\frac{\pi}{4}\)
(C) \(\sin ^{-1} \frac{4}{5}+2 \tan ^{-1} \frac{1}{3}\)(III) \(\frac{5 \pi}{6}\)
(D) \(\tan ^{-1} \frac{x}{y}-\tan ^{-1} \frac{x-y}{x+y}\)(IV) \(\frac{3 \pi}{4}\)
Choose the correct answer from the options given below :

  1. A (A)-(IV), (B)-(III), (C)-(II), (D)-(I)
  2. B (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
  3. C (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
  4. D (A)-(I), (B)-(II), (C)-(III), (D)-(IV)
Verified Solution

Answer & Solution

Correct Answer

(C) (A)-(III), (B)-(IV), (C)-(I), (D)-(II)

Step-by-step Solution

Detailed explanation

(A) \( \cos ^{-1}\left(\cos \frac{7 \pi}{6}\right) = \cos ^{-1}\left(\cos \left(2\pi - \frac{7 \pi}{6}\right)\right) = \cos ^{-1}\left(\cos \frac{5 \pi}{6}\right) = \frac{5 \pi}{6} \) (III) (B)…