(a) Find the distance of the point $\text{P}(2, 4, -1)$ from the line $\frac{x + 5}{1} = \frac{y + 3}{4} = \frac{z - 6}{-9}$. OR (b) Let the position vectors of the points $\text{A}$, $\text{B}$ and $\text{C}$ be $3\hat{i} - \hat{j} - 2\hat{k}$, $\hat{i} + 2\hat{j} - \hat{k}$ and $\hat{i} + 5\hat{j} + 3\hat{k}$ respectively. Find the vector and cartesian equations of the line passing through $\text{A}$ and parallel to line $\text{BC}$.

Year	Paper Code	Set	Position
CBSE 2025	Series 65-6	Set 1	Question 30
CBSE 2025	Series 65-6	Set 2	Question 28
CBSE 2025	Series 65-6	Set 3	Question 27

• Step 1: Stating the fundamental formula / law statement (+1 Mark)
• Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
• Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)