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CUET · MATHS · PYQ PAPER 2023

Match List - I with List - II.
List - IList - II
(A) Range of \(y=\operatorname{cosec}^{-1} x\)(I) \(\quad R-(-1,1)\)
(B) Domain of \(\sec ^{-1} x\)(II) \(\quad(0, \pi)\)
(C) Domain of \(\sin ^{-1} x\)(III) \(\quad[-1,1]\)
(D) Range of \(y=\cot ^{-1} x\)(IV) \(\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]-\{0\}\)
Choose the correct answer from the options given below :

  1. A \((A)-(I),(B)-(I I),(C)-(I V),(D)-(I I I)\)
  2. B \((A)-(I V),(B)-(I),(C)-(I I I),(D)-(I I)\)
  3. C \((A)-(I I I),(B)-(I V),(C)-(I I),(D)-(I)\)
  4. D \((A)-(I I),(B)-(I I I),(C)-(I),(D)-(I V)\)
Verified Solution

Answer & Solution

Correct Answer

(B) \((A)-(I V),(B)-(I),(C)-(I I I),(D)-(I I)\)

Step-by-step Solution

Detailed explanation

(A) Range of \(y=\operatorname{cosec}^{-1} x\): \(\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]-\{0\}\) \(\rightarrow\) (IV) (B) Domain of \(\sec ^{-1} x\): \(R-(-1,1)\) \(\rightarrow\) (I) (C) Domain of \(\sin ^{-1} x\): \([-1,1]\) \(\rightarrow\) (III) (D) Range of…