Range of cosec−1x=[−π/2,π/2]−{0} (IV).
Domain of sec−1x=R−(−1,1) (I).
Domain of sin−1x=[−1,1] (III).
Range of cot−1x=(0,π) (II).
CUET UG 2023 — Mathematics Geometry
Match List - I with List - II.
| List - I | List - II |
|---|---|
| (A) Range of y=cosec−1x | (I) R−(−1,1) |
| (B) Domain of sec−1x | (II) (0,π) |
| (C) Domain of sin−1x | (III) [−1,1] |
| (D) Range of y=cot−1x | (IV) [2−π,2π]−{0} |
Choose the correct answer from the options given below :
Held on 15 Jun 2023 · Verified 13 Jul 2026.
(A)-(I), (B)-(II), (C)-(IV), (D)-(III)
(A)-(IV), (B)-(I), (C)-(III), (D)-(II)
(A)-(III), (B)-(IV), (C)-(II), (D)-(I)
(A)-(II), (B)-(III), (C)-(I), (D)-(IV)
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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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