Question

Find the distance between two parrallel line 2x-y+5=0 and 6x-3y+20=0

Answer 1

Answer:

the distance between this two parallel line is units

Step-by-step explanation:

Given;

and

We convert above two equation in the form of

 

⇒

⇒

Where  and

Also,

 

⇒

⇒

Where

If the distance between two parallel line is ;

Then,

Plug all the values in above equation,

⇒

⇒

∴

So the distance between this two parallel line is units.

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Answer 2

Answer: 3underroot5.

Step-by-step explanation:

The distance bettween two parallel

line y=mx+C1 & y=mx+C2

is given by

L=|C1-C2|/underroot(1+m^2)

Then as per question ;

m=2 C1=20 &C2=5

Distance L= |20-5|/underoot(2^2+1)

L=15/underroot(5)

L= 3underroot(5).