CUET · MATHS · PYQ PAPER 2023
Match List - I with List - II regarding the value of the following.
| List - I | List - 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) \(\frac{3 \pi}{4}\) |
- A (A)-(IV), (B)-(III), (C)-(II), (D)-(I)
- B (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
- C (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
- D (A)-(I), (B)-(II), (C)-(III), (D)-(IV)
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)…
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