CUET UG 2025 — Mathematics Geometry
Match List-I with List-II
| List-I | List-II |
|---|---|
| (A) Equations of line through (5,−4,6) with direction ratios 3,7,2 | (I) 5x+3=−4y+7=6z+2 |
| (B) Equations of line through (3,7,2) with direction ratios 5,−4,6 | (II) 5x−3=−4y−7=6z−2 |
| (C) Equations of line through (−5,4,−6) with direction ratios 3,7,2 | (III) 3x−5=7y+4=2z−6 |
| (D) Equations of line through (−3,−7,−2) with direction ratios 5,−4,6 | (IV) 3x+5=7y−4=2z+6 |
Choose the correct answer from the options given below:
Held on 22 May 2025 · Verified 13 Jul 2026.
(A) - (III), (B) - (II), (C) - (IV), (D) - (I)
(A) - (III), (B) - (I), (C) - (I), (D) - (IV)
(A) - (IV), (B) - (I), (C) - (III), (D) - (II)
(A) - (I), (B) - (IV), (C) - (II), (D) - (III)
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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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