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12 Dec 2022, 08:39
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Another data sufficiency question:
If L1 and L2 are distinct lines in the xy coordinate system such that the equation for L1 is y=ax+b and the equation for L2 is y= cx+d,
Is ac=a^2?
(1) d=b+2
(2) For each point (x,y)on L1, there is a corresponding point (x,y+k) on L2 for some constant k.
Ps: rationale please
If L1 and L2 are distinct lines in the xy coordinate system such that the equation for L1 is y=ax+b and the equation for L2 is y= cx+d,
Is ac=a^2?
(1) d=b+2
(2) For each point (x,y)on L1, there is a corresponding point (x,y+k) on L2 for some constant k.
Ps: rationale please
12 Dec 2022, 08:57
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Yusa
ac = c^2
ac - c^2 = 0
c(a - c) = 0
For the equation to be true
Either c = 0 => L2 is parallel to x axis
or c = a => L1 and L2 are parallel
1) d = b + 2
Doesn’t help as we are looking for either c = 0 or c = a
2) Note this states that L1 and L2 are parallel.
Why is that so ? Because for every value of x, there will be a value of y unique to each line and the distance between two lines will be constant.
Hence B
12 Dec 2022, 09:04
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Yusa
You’re welcome !
Also, we have two very active quant and verbal chat groups. You can discuss questions, concerns, strategies etc. in those groups as well. So if you haven’t joined yet, feel free to join in
Quant chat group - https://gmatclub.com/forum/mchat.php?room_id=50050616
Verbal chat group - https://gmatclub.com/forum/mchat.php?room_id=50050617
