CUET UG 2025 — Mathematics Geometry
Match List-I with List-II
| List-I | List-II |
|---|---|
| Equation of line | Information |
| (A) r=(3i^−2j^+k^)+λ(j^−2k^) | (I) Direction ratios are 2, 4, -1 |
| (B) 12−x=42y+1, z=2 | (II) Perpendicular to 2i^−j^+k^ |
| (C) 1x=2y−3=23−4z | (III) Passing through the point (3,−2,1) |
| (D) r=(3i^+2j^+k^)+λ(2i^+j^−3k^) | (IV) Direction ratios are -1, 2, 0 |
Choose the correct answer from the options given below:
Held on 22 May 2025 · Verified 13 Jul 2026.
(A) - (III), (B) - (IV), (C) - (I), (D) - (II)
(A) - (I), (B) - (IV), (C) - (II), (D) - (III)
(A) - (III), (B) - (IV), (C) - (II), (D) - (I)
(A) - (IV), (B) - (III), (C) - (II), (D) - (I)
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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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