Question

Lines are drawn parallel to the line 4x – 3y + 2 = 0, at a distance 3/5  from the origin. Then which one of the following points lies on any of these lines ?

(1)  (1/4, 1/3)

(2)  (-1/4,2/3)

(3)  (1/4,1/3)

(4)  ( 1-/4, -2/3)

Answer 1

Correct option  (2)  (-1/4, 2/3)

 Explanation:

Line parallel to 4x – 3y + 2 = 0 

is given as 4x – 3y + λ = 0 

distance from origin is

required lines are 4x – 3y + 3 = 0 & 4x – 3y – 3 = 0 

Now check options