Question
Question: Two lines are given by (x – 2y)<sup>2</sup> + k (x – 2y) = 0. The value of k, so that the distance b...
Two lines are given by (x – 2y)2 + k (x – 2y) = 0. The value of k, so that the distance between them is 3 is
A
k = 0
B
k = ± 3√5
C
k = -5
D
k = 3
Answer
k = ± 3√5
Explanation
Solution
The lines x – 2y = 0 and x – 2y + k = 0 are parallel. The distance between these two lines = 
⇒ k = ± 3√5.