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Is the following reasoning correct & overlapping lines is not parallel

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which option acc to you is correct in this DS

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85% [6]
14% [1]
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Total votes : 7
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abhi855
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Is the following reasoning correct & overlapping lines is not parallel [#permalink] New post  21 Aug 2021, 16:36
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[DS]
Two lines y=mx+c, y=nx+d
two lines. Are they parallel?
a) m+n=4
b) m=n

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v12345
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Re: Is the following reasoning correct & overlapping lines is not parallel [#permalink] New post  22 Aug 2021, 07:33
y=mx+c, Slope=m
y=nx+d, Slope=n

If slope is equal, lines are parallel.

(1) m+n=4 . Insufficient
m=n=2, parallel lines
m=1, n=3 , not parallel

(2) m=n . Sufficient
Parallel lines.

Hence, OA is (B).
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HarshaBujji
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Re: Is the following reasoning correct & overlapping lines is not parallel [#permalink] New post  22 Aug 2021, 07:53
The slope of the lines is m,n respectively;

If 2 lines are parallel then their slopes are the same.

So m=n is sufficient;

IMO B
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sumitkrocks
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Re: Is the following reasoning correct & overlapping lines is not parallel [#permalink] New post  22 Aug 2021, 08:14
Slope is same for two parallel lines
I.e m = n

2nd statement is sufficient not first
Option(B) is correct IMO

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Re: Is the following reasoning correct & overlapping lines is not parallel [#permalink]
22 Aug 2021, 08:14
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