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Straight Line — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsStraight Line2 Marks
MCQ
The distance between the parallel line y = x + a y = x + b is
  • ✓
    $\frac{|a-b|}{\sqrt{2}}$
  • B
    $|a-b|$
  • C
    $| a + b |$
  • D
    $\frac{|a+b|}{\sqrt{2}}$
✓

Answer

Correct option: A.
$\frac{|a-b|}{\sqrt{2}}$
(A)
Given equation of parallel lines are
$x-y+ a =0, x-y+ b =0$
$\therefore \quad$ Required distance $=\left|\frac{ a - b }{\sqrt{(1)^2+(-1)^2}}\right|=\frac{| a - b |}{\sqrt{2}}$

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