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# Line slope .... Gmat Prep

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Intern
Joined: 10 Apr 2006
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Line slope .... Gmat Prep [#permalink]  30 Dec 2006, 22:43
Guys I need help with this one...

In the xy-plane, the line k passes through the origin and through the point (a, b), where ab is not equal to 0. Is b positive ?

1. The slope of line k is negative.

2. a < b
VP
Joined: 25 Jun 2006
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C.

1 is insuff. think a,b is 3,-4. or a,b is -2,5. Insuff.

2 is insuff. think a,b is -2,4 or a,b is -4,-3. Insuff.

together. if k has negative slope, then it passes through II and IV quadrant.
and since a < b, (a,b) can only be at II quadrant. so b > 0. Suff.
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Re: Line slope .... Gmat Prep [#permalink]  30 Dec 2006, 22:57
vmalaiya wrote:
Guys I need help with this one...

In the xy-plane, the line k passes through the origin and through the point (a, b), where ab is not equal to 0. Is b positive ?

1. The slope of line k is negative.

2. a < b

We know ab><0 => (a,b) is not on neither of the axes.

(1) slope of k is (-) => (a,b) in 2nd or 4th cuadrant. Insuf => B, C or E.

(2) if a<b, (a,b) could be in the 1st, 2nd or 3rd cuadrant. Insuf => C or E.

(1&2) We intersect {2nd c, 4th c} and {1st c, 2nd c, 3rd c} and arrive at a single solution: (a,b) is on the 2nd cuadrant => b IS positive. C.
Intern
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Thanks guys...

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