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Which of the following equations represents a line on xy-plane that

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Intern
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Joined: 27 Jan 2015
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Concentration: Marketing, Economics
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Which of the following equations represents a line on xy-plane that  [#permalink]

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New post 15 Oct 2015, 18:21
3
12
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

56% (01:51) correct 44% (01:48) wrong based on 127 sessions

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Which of the following equations represents a line on xy-plane that includes exactly only one point P(Xp; Yp) with integer coordinates (Xp and Yp are both integer numbers)?

a) y= 2x
b) 2x-2y+1=0
c) y-5=3x
d) 2y-√2.x =0
e) 2y= x+2
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Re: Which of the following equations represents a line on xy-plane that  [#permalink]

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New post 15 Oct 2015, 19:07
fla162 wrote:
Which of the following equations represents a line on xy-plane that includes exactly only one point P(Xp; Yp) with integer coordinates (Xp and Yp are both integer numbers)?

a) y= 2x
b) 2x-2y+1=0
c) y-5=3x
d) 2y-√2.x =0
e) 2y= x+2



Easiest way is to do POE for the options to arrive at the correct answer. Incorrect options will either provide 0 integer coordinate pairs or will provide >1 integer coordinate pairs.

a) y= 2x , (0,0) m (1,2) etc. Eliminate
b) 2x-2y+1=0 --> y=x+0.5 , no integer coordinate pairs. Eliminate
c) y-5=3x ---> y=3x+5, (0,5), (1,8) etc. Eliminate
d) 2y-√2.x =0 ---> Only case possible = (0,0). Rest of them will be functions of \(\sqrt{2}\). Keep
e) 2y= x+2 ---> y=x/2+1 ---> (2,2) , (4,3) etc. Eliminate

Thus, D is the correct answer.

Hope this helps.
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Re: Which of the following equations represents a line on xy-plane that  [#permalink]

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New post 24 Oct 2018, 09:37
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Re: Which of the following equations represents a line on xy-plane that   [#permalink] 24 Oct 2018, 09:37
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