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9. straight line — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS9. straight line1 Mark
MCQ
Distance between the two parallel lines $y = 2x + 7$and $y = 2x + 5$ is
  • A
    $\frac{{\sqrt 5 }}{2}$
  • B
    $\frac{2}{5}$
  • ✓
    $\frac{2}{{\sqrt 5 }}$
  • D
    $\frac{1}{{\sqrt 5 }}$
✓

Answer

Correct option: C.
$\frac{2}{{\sqrt 5 }}$
c
(c)Given lines are $2x - y + 7 = 0$ and $AB = 2AD = 2\sqrt {81 - 9} = 2\sqrt {72} = 12\sqrt 2 $
Both the lines are on same side of origin.
Distnace between two parallel lines = $\frac{{7 - 5}}{{\sqrt {{2^2} + {1^2}} }} = \frac{2}{{\sqrt 5 }}$.

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