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The distance between two parallel lines is given by

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The distance between two parallel lines is given by  [#permalink]

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New post 28 Dec 2018, 21:42
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

50% (02:17) correct 50% (02:43) wrong based on 29 sessions

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The distance between two parallel lines given by equation x+2y-3=0 and 2x+4y-17=0 is approximately:

A. 0.85

B.1.95

C. 2.5

D. 3.25

E. 1.25

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Re: The distance between two parallel lines is given by  [#permalink]

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New post 28 Dec 2018, 21:56
fitzpratik wrote:
The distance between two parallel lines given by equation x+2y-3=0 and 2x+4y-17=0 is approximately:

A. 0.85

B.1.95

C. 2.5

D. 3.25

E. 1.25


Distance between two parallel lines is given by | c1-c2 | / sq rt of 1 + m2.

Hence, by rewriting the equation we can get,
C1 = 3/2 and c2 = 17/4.
M = -1/2

Ans. C


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Re: The distance between two parallel lines is given by  [#permalink]

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New post 29 Dec 2018, 03:02
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fitzpratik wrote:
The distance between two parallel lines given by equation x+2y-3=0 and 2x+4y-17=0 is approximately:

A. 0.85

B.1.95

C. 2.5

D. 3.25

E. 1.25



My approach:
Just get the equations in the form of y = m*x + b

Since the lines are parallel, the distance is the difference between b

equation 1: x+2y-3=0 --> y=-1/2 x +3/2
equation 2: 2x+4y-17=0 --> y=-1/2 x + 17/4

17/4 ~ 4 and 3/2 ~ 1,5

So 4 - 1,5 = 2,5

Hence C
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Re: The distance between two parallel lines is given by   [#permalink] 29 Dec 2018, 03:02
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