Standard principal value ranges: cos−1:[0,π] (I); tan−1:(−π/2,π/2) (IV); csc−1:[−π/2,π/2]−{0} (III); sec−1:[0,π]−{π/2} (II). So A-I, B-IV, C-III, D-II.
CUET UG 2022 — Mathematics Geometry
Match List I with List II
| List I (Functions) | List II (Principal value branches) |
|---|---|
| A. f(x)=cos−1x | I. [0,π] |
| B. f(x)=tan−1x | II. [0,π]−{2π} |
| C. f(x)=cosec−1x | III. [−2π,2π]−{0} |
| D. f(x)=sec−1x | IV. (−2π,2π) |
Choose the correct answer from the options given below:
Held on 16 Jul 2022 · Verified 13 Jul 2026.
A-I, B-II, C-III, D-IV
A-I, B-IV, C-III, D-II
A-IV, B-III, C-II, D-I
A-III, B-IV, C-I, D-II
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Consider the line $\vec{r} = -2\hat{i} + 3\hat{j} + \hat{k} + \lambda(5\hat{i} - 3\hat{j} - \hat{k})$. Match List-I with List-II | List-I | List-II | |---|---| | (A) A point on the given line | (I) $\left(\frac{5}{\sqrt{35}}, \frac{-3}{\sqrt{35}}, \frac{-1}{\sqrt{35}}\right)$ | | (B) Direction ratios of the given line | (II) (2, 3, 1) | | (C) Direction cosines of the given line | (III) (5, -3, -1) | | (D) Direction ratios of a line perpendicular to given line | (IV) (-2, 3, 1) | Choose the correct answer from the options given below:
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