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In the xy-plane, region R consists of all the points (x, y) [#permalink]

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17 Sep 2008, 10:49

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In the xy-plane, region R consists of all the points (x, y) such that 2x + 3y = 6. Is the point (r, s) in region R ? (1) 3r + 2s = 6 (2) r = 3 and s = 2

In the xy-plane, region R consists of all the points (x, y) such that 2x + 3y = 6. Is the point (r, s) in region R ? (1) 3r + 2s = 6 (2) r = 3 and s = 2

IMO E

R consists of all the points that satisfy 2x + 3y = 6 R can consis of other points also ,hence (1) and (2) are not SUFFI

Region R essentially means all the points on the line 2x + 3y = 6. If, I plot this line in XY plane, it will meet X-axis at (3,0) and Y-axis at (0,2).

Now stmt1 gives a line that meets X-axis at (2,0) and Y-axis at (0,3). This line definitely intersects the original line at one point. Hence, this is insufficient as only for one combination of r and s, this satisfies the original equation. For other combinations, it does not.

stmt 2: this is a point clearly not on the original line. Hence, sufficient.

In the xy-plane, region R consists of all the points (x, y) such that 2x + 3y = 6. Is the point (r, s) in region R ? (1) 3r + 2s = 6 (2) r = 3 and s = 2

Looks like we are missing something in this question..

region R consists of all the points (x, y) such that 2x + 3y = 6 -- this is line not a region.. so I believe we are missing <= or >= then it may be region. ( 2x + 3y <= 6 or 2x + 3y >= 6 represents region)
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The equation 2x + 3y = 6 represent the line, it can not represent the region........ question itself might be wrong.....however it appeared to me as it is and that's why i could not understood it. the source is unknowm (some papers in PDF Form)

Last edited by vivektripathi on 18 Sep 2008, 10:47, edited 1 time in total.

The equation 2x + 3y = 6 represent the line, it can not represent the region........ question itself might be wrong.....however it appeared to as it is and that's why i could understood it.

What is the source of this question?
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Your attitude determines your altitude Smiling wins more friends than frowning