Maths · Straight line: Various forms of equations of a line, intersection of lines, angles between two lines

The equation of lines parallel to at a unit distance from it is

The equation of lines parallel to \( 3 x- \) \( 4 y-5=0 \) at a unit distance from it is

  • A. \( 3 x-4 y-10=0 \)
  • B. \( 5 x+3 y-5=0 \)
  • C. \( 3 x+4 y+10=0 \)
  • D. \( 6 x+2 y+4=0 \)

Step-by-step solution

Lines parallel to 3x-4y-5=0 have equation 3x-4y+c=0. Distance from given line is |c+5|/5=1 => c=0 or -10. Option A is the line with c=-10.
Practise more in this unitView MCQsSign up for full question bank