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study
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At what angle do lines y = Kx + B and y = Bx + K intersect ? 29 Dec 2009, 21:28
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C
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Difficulty:

55% (hard)

Question Stats:

58% (01:51) correct 42% (01:49) wrong based on 202 sessions

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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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At what angle do lines y = Kx + B and y = Bx + K intersect ? 29 Dec 2009, 21:37
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study
At what angle do lines \(y = Kx + B\) and \(y = Bx + K\) intersect ?

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

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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At what angle do lines y = Kx + B and y = Bx + K intersect ? 31 Oct 2010, 22:16
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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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At what angle do lines y = Kx + B and y = Bx + K intersect ? 01 Nov 2010, 00:50
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Fijisurf
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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Do you have a particular question in mind ? Post an example, might be easier that way
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At what angle do lines y = Kx + B and y = Bx + K intersect ? 01 Nov 2010, 07:35
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shrouded1
Fijisurf
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
Show more

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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Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
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At what angle do lines y = Kx + B and y = Bx + K intersect ? 01 Nov 2010, 07:50
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Fijisurf
shrouded1
Fijisurf
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...
Show more

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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At what angle do lines y = Kx + B and y = Bx + K intersect ? 01 Nov 2010, 07:54
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Bunuel

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.
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Exactly, this is the question I am refering to.
I love this forum! Very efficient.
Thanks.
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At what angle do lines y = Kx + B and y = Bx + K intersect ? 04 Mar 2014, 00:44
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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 :)
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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 7094 times ]
Angle = 45 degrees.

Hope it helps.
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At what angle do lines y = Kx + B and y = Bx + K intersect ? 23 Jan 2023, 00:49
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