CUET Mathematics 2026 25th May Shift 1 PYQs

The co-ordinates of the point at which the line $\frac{x-3}{3} = \frac{y+1}{2} = \frac{z-4}{-2}$ crosses x-y plane, are

The vector equation of the line joining the points $(-2, -3, -4)$ and $(1, -2, 4)$ is :

Let $L_1$ and $L_2$ be two lines, represented as,

$L_1: \vec{r} = \hat{i} + \hat{j} + \lambda(2\hat{i} - \hat{j} + \hat{k})$ and $L_2: \vec{r} = 2\hat{i} + \hat{j} - \hat{k} + \mu(4\hat{i} - 2\hat{j} + 2\hat{k})$, where $\lambda$ and $\mu$ are scalars. Then which of the following are true?

(A) $L_1$ is perpendicular to $L_2$.

(B) $L_1$ is parallel to $L_2$.

(C) $L_1$ passes through the point (1, 1, 0)

(D) $L_2$ passes through the point (2, 1, -1)

Choose the correct answer from the options given below: