question_answer

The equation of one of the lines parallel to \[4x-3y=5\]and at a unit distance from the point\[(-1,-4)\]is

A)  \[3x+4y-3=0\]  

B)  \[3x+4y+3=0\]

C)  \[4x-3y+3=0\]

D)         \[4x-3y-3=0\]

E)  \[4x-3y-4=0\]

Correct Answer: D

Solution :

The equation of line parallel tois Now, the distance of pointfrom line is                                 According to questions                           Equation of required line is