If the points A(-1,3,2), B(-4,2,-2) and C(5,5,) are collinear, then value of is : Option 1: =5 Option 2: =10 Option 3: =20 Option 4: =-10

The answer is '=10'. View full solution:

CUET Mathematics - If the points A(-1,3,2), B(-4,2,-2) and C(5,5,) are collinear, then value of is : | PYQs + Solutions

CUET Mathematics 2026 12th May Shift 2

Geometry

Easy

core

$\lambda=5$

$\lambda=10$

$\lambda=20$

$\lambda=-10$

✅ Correct Option: 2

Related questions:

15th May Shift 1

If the lines $\dfrac{x+1}{3}=\dfrac{y+3}{5}=\dfrac{z+\lambda}{7}$ and $\dfrac{x-2}{1}=\dfrac{y-4}{3}=\dfrac{z-6}{5}$ are intersecting , then the value of ' $\lambda$ ' is

14th May Shift 2

The shortest distance between the lines whose vector equations are $\vec r=(\hat i+2\hat j+3\hat k)+\lambda(2\hat i+3\hat j+4\hat k)$ and $\vec r=(2\hat i+4\hat j+5\hat k)+\mu(4\hat i+6\hat j+8\hat k)$ is:

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

Choose the correct answer from the options given below:

CUET Mathematics 2026 12th May Shift 2 PYQs

Keyboard Shortcuts