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At what angle do lines y = Kx + B and y = Bx + K intersect ?

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study
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At what angle do lines y = Kx + B and y = Bx + K intersect ? [#permalink] New post   29 Dec 2009, 21:28
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At what angle do lines y = Kx + B and y = Bx + K intersect ?

(1) B + K = 1
(2) BK = 0

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C
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x2suresh
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Re: At what angle do lines y = Kx + B and y = Bx + K intersect ? [#permalink] New post   29 Dec 2009, 21:37
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study wrote:
At what angle do lines \(y = Kx + B\) and \(y = Bx + K\) intersect ?

1. \(B + K = 1\)
2. \(BK = 0\)


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
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Re: At what angle do lines y = Kx + B and y = Bx + K intersect ? [#permalink] New post   31 Oct 2010, 22:16
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.
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shrouded1
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Re: At what angle do lines y = Kx + B and y = Bx + K intersect ? [#permalink] New post   01 Nov 2010, 00:50
Fijisurf wrote:
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 have a particular question in mind ? Post an example, might be easier that way
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Re: At what angle do lines y = Kx + B and y = Bx + K intersect ? [#permalink] New post   01 Nov 2010, 07:35
shrouded1 wrote:
Fijisurf wrote:
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 have a particular question in mind ? Post an example, might be easier that way


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...
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Re: At what angle do lines y = Kx + B and y = Bx + K intersect ? [#permalink] New post   01 Nov 2010, 07:50
Expert Reply
Fijisurf wrote:
shrouded1 wrote:
Fijisurf wrote:
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 have a particular question in mind ? Post an example, might be easier that way


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...


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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Re: At what angle do lines y = Kx + B and y = Bx + K intersect ? [#permalink] New post   01 Nov 2010, 07:54
Bunuel wrote:
Yes you can post Gmat Club question but in a separate thread.

I think you are talking about this problem:
If you have any questions on it please post there.


Exactly, this is the question I am refering to.
I love this forum! Very efficient.
Thanks.
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Re: At what angle do lines y = Kx + B and y = Bx + K intersect ? [#permalink] New post   04 Mar 2014, 00:44
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sanjoo wrote:
At what angle do lines \(y = Kx + B\) and \(y = Bx + K\) intersect ?

(1) \(B + K = 1\)
(2) \(BK = 0\)

can anyone draw a figure for me How can we say its C?

Thank u :)


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
graph.png [ 6.6 KiB | Viewed 5442 times ]
Angle = 45 degrees.

Hope it helps.
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Re: At what angle do lines y = Kx + B and y = Bx + K intersect ? [#permalink] New post   23 Jan 2023, 00:49
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: At what angle do lines y = Kx + B and y = Bx + K intersect ? [#permalink]
23 Jan 2023, 00:49
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