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Does the point of intersection of line y=Kx+ B and line

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CEO
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Does the point of intersection of line y=Kx+ B and line [#permalink]

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New post 13 Nov 2007, 06:04
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

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


Please walk me thru the answer. thanks

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Manager
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New post 14 Nov 2007, 10:06
since the slope of the lines is same dont you think the lines will be parallal.

and does the question asks that both the x,y cordinate will be negative or any one of them.?

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Re: intersecting lines [#permalink]

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New post 14 Nov 2007, 10:42
bmwhype2 wrote:
Does the point of intersection of line y=Kx+ B and line x=Kx+B have a negative coordinate?

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


Please walk me thru the answer. thanks


I think the answer is C. i remember doing it. if it is the right answer i might post the explanation

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Director
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New post 14 Nov 2007, 16:50
Is there any typo error?

I think the second equation should be X= KY + B...

if so then 1 is sufficent, hence answer is A

On solving both the equation we will have X = -B((K^2 + 1)/(K^2 - 1))

and Y = B[1- (K^2 +1)/(K^2-1)], since both K and B are greater than 0, X and Y will be negative coordinate. If K=1, K^2 - 1 = 0 and hence X will have infinite negative value. So Case 2 can be ignored.

Amar

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Re: intersecting lines [#permalink]

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New post 15 Nov 2007, 04:44
bmwhype2 wrote:
bmwhype2 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


Please walk me thru the answer. thanks


sorry.


Actually, if there is no error and the 2nd graph is vertical line, then the answer is C.

Let's see :

Functions are : y = kx+b, x = b/(1-k)

1 is not sufficient because if b and k both positive then :

y = kx + b passes I, III, IV quadrants.
x = b/(1-k) when k <1>1 then it is vertical to the left of Y and the intersection will be in either quadrant III or IV and 1 or 2 coordinates will be negative.

2 is not sufficient because it gives us obviousely not enough information.

Thus the unswer is C

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Re: intersecting lines   [#permalink] 15 Nov 2007, 04:44
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