Lines l and K lie on xy plane and intersect at point (4,3). : DS Archive
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# Lines l and K lie on xy plane and intersect at point (4,3).

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Lines l and K lie on xy plane and intersect at point (4,3). [#permalink]

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08 Aug 2006, 07:05
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Lines l and K lie on xy plane and intersect at point (4,3). Is the product of their slopes equal to -1 ?

1. product of x intercepts of lines l and k is positive
2. product of y intercepts of lines l and k is negative
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08 Aug 2006, 07:27

For the slopes to be -1 the two lines need to be perpendicular and even by combining I and II we cannot be sure that the lines are perpendicular
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08 Aug 2006, 07:39
E

For slope to be equal to -1. Lines must be perpendicular.

St1:
1.Both x intercepts are on -ve x side. Product of slopes +ve
2.Both x intercepts are on +ve x side. Product of slopes can be +ve or -ve.
INSUFF

St2: Both intercepts are of different sign
1. When both intercepts are less than 3 with one on +ve y side and on eon -ve y side. Product of slopes +ve
2. When one intercept is above 3 and one less than 0. Product of slopes is -ve.
INSUFF

Combined:
Both the x intercept are on +ve x side. Both of y intercept are on opposite side. So the slope will be -ve for sure but may or may not be equal to -1.
INSUFF
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08 Aug 2006, 07:40
I agree with gmatornot. The slopes would have to be negative reciprocals of each other. Cannot be determined.
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08 Aug 2006, 08:16
error in my question.

correct question: is the product of the slopes negative ?
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08 Aug 2006, 08:54
gmatinjune wrote:
error in my question.

correct question: is the product of the slopes negative ?

Then the answer is C. See my explanation above.
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08 Aug 2006, 14:13
I second ps_dahiya .. if we just need negative slope then the answer is indeed C
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08 Aug 2006, 18:17
OA is C

ps_dahiya nice explanation !
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12 Aug 2006, 20:42
The questions asks if the lines are perpendicular to each other.
12 Aug 2006, 20:42
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# Lines l and K lie on xy plane and intersect at point (4,3).

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