Question

DISTANCE BETWEEN THE TWO PARALLEL LINES Y = 2X + 7 AND Y = 2x + 5
A) √2/√5
B) 1/√5
C) √5/2
D) 2/√5

Answer 1

Answer:

The distance between two parallel lines with the same slope ( i.e. m1=m2) is given by |c1-c2|.

Here, the equations of parallel lines are y = 2x + 7 and y = 2x + 5.

Slopes are same m1 = m2 = 2 and c1 = 7 ,c2 = 5.

So, the distance between two parallel lines is given by

=> |c1-c2| = |7-5| = 2

Answer 2

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$ɢɪᴠᴇɴ \: \: ʟɪɴᴇ \\ y = 2x + 7 \\ y = 2x + 5$

$ʀᴇϙᴜɪʀᴇᴅ \: ᴅɪនᴛᴀɴᴄᴇ \\ = | \frac{c1 - c2}{ \sqrt{ {a}^{2} - {b}^{2} } } | \\ = | \frac{7 - 5 }{ \sqrt{ {1}^{2} + {2}^{2} } } | \\ = | \frac{ 2}{ \sqrt{5} } |$

Option [D] is correct

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