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Match List-I with List-II | List-I | List-II | |---|---| | Equation of line | Information | | (A) = (3 i - 2 j + k) + λ( j - 2 k) | (I) Direction…

CUET UG 2025 — Mathematics Geometry

2025mcqmedium

Match List-I with List-II

List-I List-II
Equation of line Information
(A) r⃗=(3i^−2j^+k^)+λ(j^−2k^)\vec{r} = (3\hat{i} - 2\hat{j} + \hat{k}) + \lambda(\hat{j} - 2\hat{k})r=(3i^−2j^​+k^)+λ(j^​−2k^) (I) Direction ratios are 2, 4, -1
(B) 2−x1=2y+14\frac{2-x}{1} = \frac{2y+1}{4}12−x​=42y+1​, z=2z = 2z=2 (II) Perpendicular to 2i^−j^+k^2\hat{i} - \hat{j} + \hat{k}2i^−j^​+k^
(C) x1=y−32=3−4z2\frac{x}{1} = \frac{y-3}{2} = \frac{3-4z}{2}1x​=2y−3​=23−4z​ (III) Passing through the point (3,−2,1)(3, -2, 1)(3,−2,1)
(D) r⃗=(3i^+2j^+k^)+λ(2i^+j^−3k^)\vec{r} = (3\hat{i} + 2\hat{j} + \hat{k}) + \lambda(2\hat{i} + \hat{j} - 3\hat{k})r=(3i^+2j^​+k^)+λ(2i^+j^​−3k^) (IV) Direction ratios are -1, 2, 0

Choose the correct answer from the options given below:

Official previous-year question

Held on 22 May 2025 · Verified 13 Jul 2026.

Options

  1. A

    (A) - (III), (B) - (IV), (C) - (I), (D) - (II)

  2. B

    (A) - (I), (B) - (IV), (C) - (II), (D) - (III)

  3. C

    (A) - (III), (B) - (IV), (C) - (II), (D) - (I)

  4. D

    (A) - (IV), (B) - (III), (C) - (II), (D) - (I)

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