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Straight Line — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsStraight Line1 Mark
MCQ
Distance between the two parallel lines y = 2x + 7 and y = 2x + 5 is
  • A
    $\frac{\sqrt{2}}{\sqrt{5}}$
  • B
    $\frac{1}{\sqrt{5}}$
  • C
    $\frac{\sqrt{5}}{2}$
  • ✓
    $\frac{2}{\sqrt{5}}$
✓

Answer

Correct option: D.
$\frac{2}{\sqrt{5}}$
$\frac{2}{\sqrt{5}}$

Here, c1 = 7, c2 = 5, a = 2 and b = -1 Distance between parallel lines

$\begin{aligned} & =\mid \frac{c_1-c_2}{\sqrt{a^2+b^2} \mid} \\ & =\frac{|7-5|}{\sqrt{2^2+(-1)^2}} \\ & =\frac{2}{\sqrt{5}} \text { units }\end{aligned}$

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