CUET Mathematics - If the lines 1-x/3 = 3y-6/x = 3-z/-2 and 1-x/2k = y-5/3 = 6-z/5 are perpendicular to each other, then k is equal to | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 2

Geometry

Hard

core

$\frac{10}{7}$

$\frac{10}{9}$

$\frac{-10}{9}$

$\frac{-10}{7}$

✅ Correct Option: 1

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14 May Shift 2

Match List-I with List-II

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30 May Shift 2

If z-coordinate of a point P on the line joining the points A (2, 2, 1) and B (5, 1, -2) is -1, than x-coordinate of point P is

22 May Shift 2

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 2025 13 May Shift 2 PYQs