The direction ratios of the line 1-x/3 = 7y - 14/2 = z-3/2 are Option 1: -3, 1/7, 2 Option 2: -3, 2, 2 Option 3: -3, 2/7, 1 Option 4: -21, 2, 14

The answer is '-21, 2, 14'. View full solution:

CUET Mathematics - The direction ratios of the line 1-x/3 = 7y - 14/2 = z-3/2 are | PYQs + Solutions

CUET Mathematics 2022 10 Aug Shift 1

Geometry

Medium

$-3, \frac{1}{7}, 2$

$-3, 2, 2$

$-3, \frac{2}{7}, 1$

$-21, 2, 14$

✅ Correct Option: 4

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The shortest distance between the lines $\vec{r} = (\hat{i} + 2\hat{j} + 3\hat{k}) + \lambda(2\hat{i} + 3\hat{j} + 4\hat{k})$ and $\vec{r} = (2\hat{i} + 4\hat{j} + 5\hat{k}) + \mu(4\hat{i} + 6\hat{j} + 8\hat{k})$ is equal to

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Match List-I with List-II

List-I	List-II
Equation of line	Information
(A) $\vec{r} = (3\hat{i} - 2\hat{j} + \hat{k}) + \lambda(\hat{j} - 2\hat{k})$	(I) Direction ratios are 2, 4, -1
(B) $\frac{2-x}{1} = \frac{2y+1}{4}$ , $z = 2$	(II) Perpendicular to $2\hat{i} - \hat{j} + \hat{k}$
(C) $\frac{x}{1} = \frac{y-3}{2} = \frac{3-4z}{2}$	(III) Passing through the point $(3, -2, 1)$
(D) $\vec{r} = (3\hat{i} + 2\hat{j} + \hat{k}) + \lambda(2\hat{i} + \hat{j} - 3\hat{k})$	(IV) Direction ratios are -1, 2, 0

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CUET Mathematics 2022 10 Aug Shift 1 PYQs

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