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Math: Coordinate Geometry

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Math Expert
Joined: 02 Sep 2009
Posts: 43891

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02 Sep 2017, 01:57
Arsh4MBA wrote:
Hello Bunuel,

Thanks a lot for the article. I have one doubt . Is it that a line with negative slope would definitely pass through Quadrant 2 and 4, and would pass through 1 or 3 depending on the value of x and y intersects?

Yes. If the slope of a line is negative, the line WILL intersect quadrants II and IV. X and Y intersects of the line with negative slope have the same sign. Therefore if X and Y intersects are positive, the line intersects quadrant I; if negative, quadrant III.
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Joined: 07 Dec 2016
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06 Sep 2017, 17:11
Hi Bunuel,

Under heading Line equation in Co-ordinate Geometry -

The equation of a straight line passing through points P1(x1,y1)P1(x1,y1) and P2(x2,y2)P2(x2,y2) is:

$$\frac{y−y1}{x−x1}=\frac{y1−y2}{x1−x2}$$

I think it should be :

$$\frac{y−y1}{x−x1}=\frac{y2−y1}{x2−x1}$$

This is because slope for two points is : $$\frac{y2-y1}{x2-x1}$$

Let me know if I am missing anything here.
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06 Sep 2017, 20:34
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BloomingLotus wrote:
Hi Bunuel,

Under heading Line equation in Co-ordinate Geometry -

The equation of a straight line passing through points P1(x1,y1)P1(x1,y1) and P2(x2,y2)P2(x2,y2) is:

$$\frac{y−y1}{x−x1}=\frac{y1−y2}{x1−x2}$$

I think it should be :

$$\frac{y−y1}{x−x1}=\frac{y2−y1}{x2−x1}$$

This is because slope for two points is : $$\frac{y2-y1}{x2-x1}$$

Let me know if I am missing anything here.

Both are the same: $$\frac{y2−y1}{x2−x1}=\frac{-(y1−y2)}{-(x1−x2)}=\frac{y1-y2}{x1-x2}$$
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Joined: 05 Oct 2016
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12 Sep 2017, 16:37
Can anyone guide me where i can practice only coordinate plane questions??
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Kudos APPRECIATED!

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12 Sep 2017, 20:00
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SandhyAvinash wrote:
Can anyone guide me where i can practice only coordinate plane questions??

Use our search engine to find questions from specific category: https://gmatclub.com/forum/search.php?view=search_tags
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Joined: 20 Jun 2017
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18 Sep 2017, 21:10
Bunuel sir, I need coordinate Geometry in PDF. I want to download the attachment
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18 Sep 2017, 22:26
Raj94* wrote:
Bunuel sir, I need coordinate Geometry in PDF. I want to download the attachment

Check here: https://gmatclub.com/forum/bunuel-signa ... 70062.html
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11 Feb 2018, 03:50
Really great stuff! I initially had some questions after reading through this book section but found that they were answered already (like the gradient formula where sometimes its y2-y1 and on other times its y1-y2).

Nevertheless, wanted to thank you so much for this! =D
Re: Math: Coordinate Geometry   [#permalink] 11 Feb 2018, 03:50

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