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Difficulty:
55%
(hard)
Question Stats:
58% (01:51) correct
42%
(01:49)
wrong
based on 202
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At what angle do lines y = Kx + B and y = Bx + K intersect ?
(1) B + K = 1
(2) BK = 0
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(1) B + K = 1
(2) BK = 0
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
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study
B and K are slopes of tho two lines respecitvel
(1) B+K =1 have multiple solutions of values of B and K..
not sufficient
(2) BK =0 at least one of them must be zero.
when K=0 b can be any values
Multiple solutions
combined.
BK=0 B+k=1
assume B=0 K=1 two lines are Y= X and Y=1 (Parrell to X axis) angle 45
assume K=0 B =1 two lines are Y=1 and Y=x (Parrell to X axis) angle 45
Sufficient
C is the answer
This is cool explanation. Thanks.
Do you guys know anything about DS questions asking whether quadratic functions intersect?
How to solve them? (because there is no slope to deal with).
Thanks.
Do you guys know anything about DS questions asking whether quadratic functions intersect?
How to solve them? (because there is no slope to deal with).
Thanks.
Fijisurf
Do you have a particular question in mind ? Post an example, might be easier that way
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shrouded1
It is a question from GMATClub Quant Test Set 24. I am not sure whether I can legally copy it here. Can I?
It is a DS question, where two quadratic functions are given (similar to y=kX^2+b) and the question is whether they intersect...
Fijisurf
Yes you can post Gmat Club question but in a separate thread.
I think you are talking about this problem: m24-12-formatting-error-73363-20.html#p685386
If you have any questions on it please post there.
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Bunuel
Exactly, this is the question I am refering to.
I love this forum! Very efficient.
Thanks.
sanjoo
From \(B + K = 1\) and \(BK = 0\) we have that b=0 and k=1 OR b=1 and k=0. In either cases the two lines are y=x and y=1:
Attachment:
graph.png [ 6.6 KiB | Viewed 7442 times ]
Hope it helps.
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