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Math: Coordinate Geometry

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Re: Math: Coordinate Geometry [#permalink] New post 09 Feb 2013, 03:11
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Re: Math: Coordinate Geometry [#permalink] New post 09 Feb 2013, 04:45
HI Bunuel,
As karishma has also mentioned that a line with -ve slope can also be present in 1st quadrant than how can we be so sure that it is intersecting in 2nd quadrant,

Moreover as per the theory it must intersect in 2nd and 4th quadrant ...than as per statement 1 there are two possibilities.....line intersecting in in quad 2 and 4.....But we must have only one answer form the statement, for it to be correct answer..................

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Re: Math: Coordinate Geometry [#permalink] New post 09 Feb 2013, 04:53
Archit143 wrote:
HI Bunuel,
As karishma has also mentioned that a line with -ve slope can also be present in 1st quadrant than how can we be so sure that it is intersecting in 2nd quadrant,

Moreover as per the theory it must intersect in 2nd and 4th quadrant ...than as per statement 1 there are two possibilities.....line intersecting in in quad 2 and 4.....But we must have only one answer form the statement, for it to be correct answer..................

Archit


No, that's not what she said.

If the slope of a line is negative, line WILL intersect quadrants II and IV in ANY case. If X and Y intersects are positives, line ALSO intersects the quadrant I, if negative line ALSO intersects the quadrant quadrant III.
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Re: Math: Coordinate Geometry [#permalink] New post 09 Feb 2013, 23:53
Archit143 wrote:
So for a question where it is given that slope is -1/6, Than how can be sure that line intersects 2nd quad, I found this question on GMAT prep......
in-the-rectangular-coordinate-system-shown-above-does-the-90635.html

Archit


Since the slope is negative, the line will intersect the 2nd and 4th quadrant. We are talking about a line, not a line segment. A line extends indefinitely on both ends. The top end of the line will extend to intersect the 2nd quadrant under all circumstances.

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Re: Math: Coordinate Geometry [#permalink] New post 10 Feb 2013, 05:16
Karishma, thats what i wanted to ask....In question it asks about whether the line is intersecting 2nd quadrant....Answer is Yes it does, but at the same time it may lie in 1st quadrant also as explained by you....I think i am badly confused on this....

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Re: Math: Coordinate Geometry [#permalink] New post 10 Feb 2013, 05:23
Archit143 wrote:
Karishma, thats what i wanted to ask....In question it asks about whether the line is intersecting 2nd quadrant....Answer is Yes it does, but at the same time it may lie in 1st quadrant also as explained by you....I think i am badly confused on this....

Archit


Does it matter whether the line also lies in other quadrants? We know that it goes through the II and IV quadrants, it may also (simultaneously) go through either I or III quadrant, but this does not alter the fact that the line goes through the II, is it? So, the answer is YES.
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Re: Math: Coordinate Geometry [#permalink] New post 10 Feb 2013, 07:27
Thanks Bunuel....
I got it..

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Re: Math: Coordinate Geometry [#permalink] New post 06 Apr 2013, 09:06
Hi Bunuel,

Thanks for the consolidated , yet elaborate content for the topic at one place.
I would be glad , if you can tell me as to , how did you arrive at the formula for the vertex of a parabola. I find it difficult to remember formulas and if there is a easy way to arrive at the formula itself , then would prefer to know that too , so it helps in case I forget the formula.
Appreciate any help on this.

Thanks,
Jyothi
Re: Math: Coordinate Geometry   [#permalink] 06 Apr 2013, 09:06
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