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9. straight line — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS9. straight line1 Mark
MCQ
The distance between two parallel lines $3x + 4y - 8 = 0$ and $3x + 4y - 3 = 0$, is given by
  • A
    $4$
  • B
    $5$
  • C
    $3$
  • ✓
    $1$
✓

Answer

Correct option: D.
$1$
d
(d) Let the distance of both lines are ${p_1}$ and ${p_2}$ from origin, then ${p_1} = - \frac{8}{5}$and ${p_2} = - \frac{3}{5}$. Hence distance between both the lines $ = |{p_1}\sim{p_2}| = \frac{5}{5} = 1$.

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