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m19 Q29

Author Message
SVP
Joined: 16 Nov 2010
Posts: 1597

Kudos [?]: 592 [0], given: 36

Location: United States (IN)
Concentration: Strategy, Technology

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01 May 2011, 22:53
Does the point of intersection of line y=Kx+ B and line x=Ky+B have a negative coordinate?

1. k > 0, b>0
2. k > 1

Hi

Could someone please draw graphs to illustrate this, i.e, the case when x-coordinate at the point of intersection can be positive ?

Regards,
Subhash
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Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

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Kudos [?]: 592 [0], given: 36

Director
Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 03 Feb 2011
Posts: 871

Kudos [?]: 396 [0], given: 123

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02 May 2011, 01:17
Combining 1) and 2) The answer is YES
x = b(1+k) / (1-k)

Where is fluke and bagrettin? They can answer this with the graphs

I recall that sometime back when I was conversing with bagrettin - this is from his post. line-equation-111181.html?hilit=reflection

Inverse function : function you get after replacing y with x and vice versa. Hence inverse function of y=Kx+ B is x=Ky+B

http://en.wikipedia.org/wiki/Inverse_function

subhashghosh wrote:
Does the point of intersection of line y=Kx+ B and line x=Ky+B have a negative coordinate?

1. k > 0, b>0
2. k > 1

Hi

Could someone please draw graphs to illustrate this, i.e, the case when x-coordinate at the point of intersection can be positive ?

Regards,
Subhash

Kudos [?]: 396 [0], given: 123

SVP
Joined: 16 Nov 2010
Posts: 1597

Kudos [?]: 592 [0], given: 36

Location: United States (IN)
Concentration: Strategy, Technology

Show Tags

02 May 2011, 06:03
Yeah, I know the answer, but I want to see how the lines would look like once plotted.
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Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

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Kudos [?]: 592 [0], given: 36

Re: m19 Q29   [#permalink] 02 May 2011, 06:03
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m19 Q29

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