CUET Mathematics - The Cartesian equation of the line passing through the point (1, 2, -1) and parallel to the line 5x - 25 = 14 - 7y = 35z is | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 1

Geometry

Medium

core

$\frac{x - 1}{7} = \frac{y - 2}{5} = \frac{z + 1}{1}$

$\frac{x - 1}{7} = \frac{y - 2}{-5} = \frac{z + 1}{1}$

$x - 1 = y - 2 = z + 1$

$\frac{x - 1}{5} = \frac{y - 2}{7} = \frac{z + 1}{35}$

✅ Correct Option: 2

Related questions:

29 May Shift 2

The direction cosines of a line which makes equal angles with co-ordinate axes are:

21 May Shift 2

The shortest distance between the following lines:

$\vec{r} = (\hat{i} + \hat{j} - \hat{k}) + s(2\hat{i} + \hat{j} + \hat{k})$

$\vec{r} = (\hat{i} + \hat{j} + 2\hat{k}) + t(4\hat{i} + 2\hat{j} + 2\hat{k})$ , where s and t are scalars, is:

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

CUET Mathematics 2025 3 June Shift 1 PYQs