A: sin−1x+cos−1x=2π (III).
B: tan−13−cot−1(−3)=3π−65π=−2π (I).
C: cos613π=cos6π, so cos−1(cos613π)=6π (IV).
D: sin−1(−21)=−6π (II).
CUET UG 2023 — Mathematics Geometry
Match List I with List II
| LIST I | LIST II |
|---|---|
| A. sin−1x+cos−1x,x∈[−1,1] | I. −2π |
| B. tan−13−cot−1(−3) | II. −6π |
| C. cos−1(cos613π) | III. 2π |
| D. sin−1(−21) | IV. 6π |
Choose the correct answer from the options given below:
Held on 25 May 2023 · Verified 13 Jul 2026.
A-III, B-I, C-IV, D-II
A-IV, B-I, C-II, D-III
A-II, B-III, C-IV, D-I
A-I, B-II, C-III, 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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