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# Math: Coordinate Geometry

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08 Feb 2013, 06:23
in-the-rectangular-coordinate-system-shown-above-does-the-90635.html
If the previous post of mine is true than answer to this question must not be A.

Pls help!!!!!!!

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09 Feb 2013, 02:17
Archit143 wrote:
HI
I have a basic doubt , which deals with concept
Previously , I have learnt that a line that has rising slope when moving from - ve X to + ve X will have +ve slope.
But I found in the original post of BUNNUEL that a line with - ve slope will always be in 2nd or 4th quadrant. I feel that these two statements are contradictory. We can have a line with + ve slope even if it is in 2nd quadrant. Than how can we come to conclusion that whenever we encounter a slope with - ve sign , thn it must either lie in 2nd or lie in 4 th quadrant. As we can have lines in 1st quadrant with - ve slope also........

Responding to a pm:

A line with +slope MUST lie in the 1st and 3rd quadrant. It can also lie in either the 2nd or the 4th quadrant or it may not lie in both 2nd and 4th (if it passes through the center). But it must lie in 1st as well as the 3rd quadrant.

A line with -ve slope MUST lie in the 2nd and 4th quadrant. It can also lie in either 1st or 3rd quadrant or it may not lie in both 1st and 3rd (if it passes through the center). But it must lie in 2nd as well as the 4th quadrant.

Draw some lines with +ve/-ve slopes to figure this out.
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VP
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09 Feb 2013, 03:03
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

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09 Feb 2013, 03:11
Expert's post
1
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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

As discussed, line with negative slope (-1/6<0) MUST intersect quadrants II and IV.
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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..................

Archit

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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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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.

Attachment:

Ques3.jpg [ 7.76 KiB | Viewed 3192 times ]

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Karishma
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VP
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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....

Archit

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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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10 Feb 2013, 07:27
Thanks Bunuel....
I got it..

Archit

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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
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11 Jul 2013, 00:06
Bumping for review*.

*New project from GMAT Club!!! Check HERE

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05 Aug 2013, 11:19
Hi bunuel, firstly i want to thank for the explanations you provide to questions because most of them are pretty conceptual and healthy to understand.
Secondly, i wished i was more thorough with my concepts in co-ordinate geometry specifically PARABOLA. i had seen two parabola questions when i took the test & both were quite hard unfortunately, had to end up guessing. Have yu posted any questions related to Parabola ??

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08 Aug 2014, 22:38
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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26 Nov 2014, 00:21
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The angle of inclination of a line with slope 1 is 45 degrees. I know that the angle for a line of slope 2 is not 90 degree, but i do not know why not.

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04 May 2015, 12:45
All of the formulas in this post using division are messed up. I believe the formatting or something has changed and caused this error. Please fix this! See the current formula for the slop as an example.

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05 May 2015, 00:52
Jamie19892000 wrote:
All of the formulas in this post using division are messed up. I believe the formatting or something has changed and caused this error. Please fix this! See the current formula for the slop as an example.

Everything looks fine for me. Can you please post a screenshot?
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05 May 2016, 03:23
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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10 May 2016, 21:47
Thanks Bunuel this is my weak subject for the gmat.

Posted from my mobile device

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22 Mar 2017, 13:14

To answer, we must find the slope of each line and then check to see if one slope is the negative reciprocal of the other or if their product equals to -1.
SlopeAB=5−199−48=−14−39=0.358SlopeAB=5−199−48=−14−39=0.358

SlopeCD=24−422−31=20−9=−2.22

The formula of the slope of two given coordinates are y2-y1 / x2-x1

However in some questions, 2nd coordinates (x2 y2)s are subtracted from 1sts (x1 y1) and in some, other way around. Can you please clarify what do we take into account concerning this formula?

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Re: Math: Coordinate Geometry   [#permalink] 22 Mar 2017, 13:14

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