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If these lines intersect at point C, is either m or p greate

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If these lines intersect at point C, is either m or p greate [#permalink] New post   04 Jan 2013, 04:37
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If these lines intersect at point C, is either m or p greater than 0?

Line a is defined by the equation y = mx + 4.

Line b is defined the the equation y = px - 2.

(1) The x intercept of line b < 0.

(2) |m| > |p|
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Re: If these lines intersect at point C, is either m or p greate [#permalink] New post   04 Jan 2013, 04:58
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mridulparashar1 wrote:
If these lines intersect at point C, is either m or p greater than 0?

Line a is defined by the equation y = mx + 4.

Line b is defined the the equation y = px - 2.

(1) The x intercept of line b < 0.

(2) | m | > | p |


1) x intercept of b is = \(\frac{2}{p}\). Hence we get that p is negative. We still do not have any information about m. Insufficient.

2) No useful info. We need the polarity of m and p. Modulus does not give either. Insufficient.

1 & 2 together, we still do not know whether m is positive or negative. Insufficient.

Answer is hence E.
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Re: If these lines intersect at point C, is either m or p greate [#permalink] New post   04 Jan 2013, 05:00
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If these lines intersect at point C, is either m or p greater than 0?

Line a is defined by the equation y = mx + 4.

Line b is defined the the equation y = px - 2.

(1) The x intercept of line b < 0. The x-intercept is the value of x for y=0, thus we are given that 2/p<0, which implies that p<0. So, p is not greater than 0. But we know nothing about m. Not sufficient.

(2) | m | > | p |. Clearly insufficient.

(1)+(2) Still m can be positive as well as negative. For example, m=2 and p=-1 (|m|>|p|) OR m=-2 and p=-1 (|m|>|p|). Not sufficient.

Answer: E.
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Re: If these lines intersect at point C, is either m or p greate [#permalink] New post   04 Jan 2013, 05:10
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Bunuel wrote:
If these lines intersect at point C, is either m or p greater than 0?

Line a is defined by the equation y = mx + 4.

Line b is defined the the equation y = px - 2.

(1) The x intercept of line b < 0. The x-intercept is the value of x for y=0, thus we are given that 2/p<0, which implies that p<0. So, p is not greater than 0. But we know nothing about m. Not sufficient.

(2) | m | > | p |. Clearly insufficient.

(1)+(2) Still m can be positive as well as negative. For example, m=2 and p=-1 (|m|>|p|) OR m=-2 and p=-1 (|m|>|p|). Not sufficient.

Answer: E.



Hey Bunuel
question is either m or p > 0
S1 clearly gives p<0 so why not A ?

Is m value needed here?
i'm confused with words either here!
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Re: If these lines intersect at point C, is either m or p greate [#permalink] New post   04 Jan 2013, 05:16
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shanmugamgsn wrote:
Bunuel wrote:
If these lines intersect at point C, is either m or p greater than 0?

Line a is defined by the equation y = mx + 4.

Line b is defined the the equation y = px - 2.

(1) The x intercept of line b < 0. The x-intercept is the value of x for y=0, thus we are given that 2/p<0, which implies that p<0. So, p is not greater than 0. But we know nothing about m. Not sufficient.

(2) | m | > | p |. Clearly insufficient.

(1)+(2) Still m can be positive as well as negative. For example, m=2 and p=-1 (|m|>|p|) OR m=-2 and p=-1 (|m|>|p|). Not sufficient.

Answer: E.



Hey Bunuel
question is either m or p > 0
S1 clearly gives p<0 so why not A ?

Is m value needed here?
i'm confused with words either here!


Good question.

The question asks is either m or p greater than 0. Now, to have an YES answer we need to know that at least one of them is greater than 0 and to have a NO answer we need to know that neither of them is greater than 0.

We know only that p<0. If m is also less than 0, then we'll have that both are negative, thus the answer would be NO but if m is positive then the answer would be YES.

Hope it's clear.
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Re: If these lines intersect at point C, is either m or p greate [#permalink] New post   04 Jan 2013, 19:58
Bunuel wrote:
Good question.

The question asks is either m or p greater than 0. Now, to have an YES answer we need to know that at least one of them is greater than 0 and to have a NO answer we need to know that neither of them is greater than 0.

We know only that p<0. If m is also less than 0, then we'll have that both are negative, thus the answer would be NO but if m is positive then the answer would be YES.

Hope it's clear.


Ya i got it now Bunuel Thanks.
I this case if p>0, we would have not even checked for m straight A would be answer.
But since p<0, we gotta check for m>0 or m<0, which leaves us unpredictable.
So ans is E.

hope so i understood. pls clarify me Bunuel if i'm wrng. Thanks
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Re: If these lines intersect at point C, is either m or p greate [#permalink] New post   05 Jan 2013, 03:18
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shanmugamgsn wrote:
Bunuel wrote:
Good question.

The question asks is either m or p greater than 0. Now, to have an YES answer we need to know that at least one of them is greater than 0 and to have a NO answer we need to know that neither of them is greater than 0.

We know only that p<0. If m is also less than 0, then we'll have that both are negative, thus the answer would be NO but if m is positive then the answer would be YES.

Hope it's clear.


Ya i got it now Bunuel Thanks.
I this case if p>0, we would have not even checked for m straight A would be answer.
But since p<0, we gotta check for m>0 or m<0, which leaves us unpredictable.
So ans is E.

hope so i understood. pls clarify me Bunuel if i'm wrng. Thanks


That's correct. If from (1) we had that p>0, then this statement would have been sufficient.
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Line a is defined by the equation [#permalink] New post   30 Oct 2013, 00:43
Line a is defined by the equation y = mx + 4.

Line b is defined the the equation y = px - 2.

If these lines intersect at point C, is either m or p greater than 0?

(1) The x intercept of line b < 0.

(2) | m | > | p |
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Re: Line a is defined by the equation [#permalink] New post   30 Oct 2013, 00:47
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Gnpth wrote:
Line a is defined by the equation y = mx + 4.

Line b is defined the the equation y = px - 2.

If these lines intersect at point C, is either m or p greater than 0?

(1) The x intercept of line b < 0.

(2) | m | > | p |


Merging similar topics. Please refer to the solutions above.
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Re: If these lines intersect at point C, is either m or p greate [#permalink] New post   30 Oct 2013, 21:46
I am TERRIBLE with these sorts of questions. Can someone lay out what m, x and p represent and how they got the x intercept?
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Re: If these lines intersect at point C, is either m or p greate [#permalink] New post   31 Oct 2013, 01:44
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Stoneface wrote:
I am TERRIBLE with these sorts of questions. Can someone lay out what m, x and p represent and how they got the x intercept?


You should go through the basics. The following post might help: new-to-the-math-forum-please-read-this-first-140445.html

As for Coordinate Geometry check here: math-coordinate-geometry-87652.html

Hope this helps.
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Re: If these lines intersect at point C, is either m or p greate [#permalink] New post   05 Dec 2021, 05:25
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Re: If these lines intersect at point C, is either m or p greate [#permalink]
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