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At how many points do the two graphs named as "First Graph" and "Secon

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At how many points do the two graphs named as "First Graph" and "Secon  [#permalink]

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New post 13 May 2017, 02:22
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At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?

1) The Equation of the first graph is x^2 + y^2 = 4
2) The second graph is a parabola with Y-Intercept -5

Source: http://www.GMATinsight.com

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Re: At how many points do the two graphs named as "First Graph" and "Secon  [#permalink]

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New post 08 Aug 2017, 05:06
Bunuel wrote:
GMATinsight wrote:
At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?

1) The Equation of the first graph is x^2 + y^2 = 4
2) The second graph is a parabola with Y-Intercept -5

Source: http://www.GMATinsight.com


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Hey Bunuel

Are Parabolic equations part of the GMAT?
I haven't seen any official question on the same.

Best
Stone
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Re: At how many points do the two graphs named as "First Graph" and "Secon  [#permalink]

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New post 08 Aug 2017, 05:22
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stonecold wrote:
Bunuel wrote:
GMATinsight wrote:
At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?

1) The Equation of the first graph is x^2 + y^2 = 4
2) The second graph is a parabola with Y-Intercept -5

Source: http://www.GMATinsight.com


___________________
Bumping for discussion.



Hey Bunuel

Are Parabolic equations part of the GMAT?
I haven't seen any official question on the same.

Best
Stone


In OG there is a chapter on coordinate geometry, where parabolas are discussed:
Image
"The graph of a quadratic function is called a parabola and always has the shape of the curve above, although it may be upside down or have a greater or lesser width. Note that the roots of the equation \(f(x) = x^2 − 1 = 0\) are \(x = 1\) and \(x = − 1\); these coincide with the x-intercepts since x-intercepts are found by setting \(y = 0\) and solving for x. Also, the y-intercept is \(f( 0) = − 1\) because this is the value of y corresponding to \(x = 0\). For any function f, the x-intercepts are the solutions of the equation \(f( x) = 0\) and the y-intercept is the value \(f (0)\)."


Here is an official question on it: https://gmatclub.com/forum/for-what-val ... 11639.html

Attachment:
2017-08-08_1618.png
2017-08-08_1618.png [ 4.52 KiB | Viewed 793 times ]

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Re: At how many points do the two graphs named as "First Graph" and "Secon  [#permalink]

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New post 08 Aug 2017, 05:26
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stonecold wrote:
Bunuel wrote:
GMATinsight wrote:
At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?

1) The Equation of the first graph is x^2 + y^2 = 4
2) The second graph is a parabola with Y-Intercept -5

Source: http://www.GMATinsight.com


___________________
Bumping for discussion.



Hey Bunuel

Are Parabolic equations part of the GMAT?
I haven't seen any official question on the same.

Best
Stone



Please refer to official Guide 17 page number 49... You will find mention of parabola which confirms that GMAT expects test talkers to be equipped with basics of parabola.

Screenshot of OG 17 Page 49 attached

Hope this helps!!!
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Re: At how many points do the two graphs named as "First Graph" and "Secon  [#permalink]

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New post 16 Aug 2018, 11:35
GMATinsight wrote:
At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?

1) The Equation of the first graph is x^2 + y^2 = 4
2) The second graph is a parabola with Y-Intercept -5

Source: http://www.GMATinsight.com


Hey GMATinsight,

Can we have the official solution to this one ?
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Re: At how many points do the two graphs named as "First Graph" and "Secon  [#permalink]

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New post 16 Aug 2018, 23:56
stne wrote:
GMATinsight wrote:
At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?

1) The Equation of the first graph is x^2 + y^2 = 4
2) The second graph is a parabola with Y-Intercept -5

Source: http://www.GMATinsight.com


Hey GMATinsight,

Can we have the official solution to this one ?


After combining the two statements, here are two possibilities

Possibility 1: Circle with radius 2 and Green parabola with Y-intercept as -5 and the two graphs intersecting at 4 points

Possibility 2: Circle with radius 2 and Blue parabola with Y-intercept as -5 and the two graphs intersecting at 0 points

Hence no Unique answer about number of intersections.

NOT SUFFICIENT

Answer: option E
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Re: At how many points do the two graphs named as "First Graph" and "Secon   [#permalink] 16 Aug 2018, 23:56
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