Question

The point on the line $\frac{x - 2}{1} = \frac{y + 3}{- 2} = \frac{z + 5}{- 2}$ at a distance of 6 units from the point (2, –3, – 5) –

• A. (3, –5, –3)
• B. (4, –7, –9)
• C. (0, 2, –1)
• D. (–3, 5, 3)

Answer 1

Answer: (B)

(4, –7, –9)

Answer 2

Let point is P(l + 2, –2l – 3, –2l – 5)

\ distance of P form Q (2, –3, – 5) is 6.

\ PQ = 6

̃ PQ² = 36

(l + 2 – 2)² + (–2l – 3 + 3)² + (–2l – 5 + 5)² = 36

l² + 4l² + 4l² = 36

̃ l = ± 2

\ P º (4, –7, –9) or P º (0, 1, –1)