Question

The values of p and q so that the line joining the points (7, p, 2) and (q, -2, 5) may be parallel to the line joining the points (2, -3, 5) and (-6, -15, 11) are

• A. \(p = 4, q = -3\)
• B. \(p = 4, q = 3\)
• C. \(p = -4, q = 3\)
• D. \(p = -4, q = -3\)

Hint:

Direction ratios of parallel lines must be proportional.

Answer 1

The Correct Option is B

Step 1: Ratios
$\frac{q-7}{-8} = \frac{-2-p}{-12} = \frac{3}{6}$.

Step 2: Solve
$q-7 = -4$, $q=3$. $-2-p = -6$, $p=4$. Option (B).

Final Answer:
p = 4, q = 3. \[ \boxed{\text{(B)}\ p=4,\ q=3} \]