Consider the following statements: 1. The distance between the lines y = mx + c1 and y = mx + c2 is |c1 - c2|/√(1 - m^2).

Question

Consider the following statements:

1. The distance between the lines y = mx + c1 and y = mx + c2 is |c1 - c2|/√(1 - m2).

2. The distance between the lines ax + by + c1 and ax + by + c2 = 0 is |c1 - c2|/√(a2 + b2).

3. The distance between the lines x = c and x = c2 is |c1 – c2|.

Which of the above statements are correct?

a. 1 and 2 only

b. 2 and 3 only

c. 1 and 3 only

d. 1, 2 and 3

Answer 1

Correct option b. 2 and 3 only

Explanation:

Using distance between two parallel lines formula.