CUET Mathematics 2026 30th May Shift 2 PYQs

Cosine of the acute angle between the lines $\frac{x-3}{2} = \frac{y-2}{1} = \frac{z-5}{2}$ and $\frac{x-1}{6} = \frac{y-3}{-3} = \frac{z+6}{2}$ is

The reflection of the point $(\alpha, \beta, \gamma)$ in the xz plane is

Which of the following statements is/are TRUE?

(A) The angle between the lines whose direction ratios are proportional to (4, -3, 5) and (3, 4, 5) is 60°.

(B) If A(1,2,3) and B(2, 0, 5) are two points on a line, then its direction ratios are proportional to 1, -2, 2.

(C) The direction cosines of z-axis are 0, 0, 1.

(D) The vector equation of a line which passes through the point with position vector $3\hat{i}-\hat{j}+\hat{k}$ and is in the direction of $2\hat{i}+3\hat{j}+\hat{k}$ is $\vec{r} = (2\hat{i}+3\hat{j}+\hat{k}) + \lambda(3\hat{i}-\hat{j}+\hat{k})$, where $\lambda$ is a parameter.

Choose the correct answer from the options given below: