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Updated on: 01 Jul 2018, 23:18
Originally posted by mymbadreamz on 31 Mar 2012, 05:43.
Last edited by adkikani on 01 Jul 2018, 23:18, edited 2 times in total.
Last edited by adkikani on 01 Jul 2018, 23:18, edited 2 times in total.
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Which of the following lines in the xy-plane does not contain any point with integers as both coordinates?
A. \(y=x\)
B. \(y=x+\frac{1}{2}\)
C. \(Y=x+5\)
D. \(y=\frac{1}{2}*x\)
E. \(y=\frac{1}{2}*x +5\)
A. \(y=x\)
B. \(y=x+\frac{1}{2}\)
C. \(Y=x+5\)
D. \(y=\frac{1}{2}*x\)
E. \(y=\frac{1}{2}*x +5\)
07 Feb 2014, 05:47
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Which of the following lines in the xy-plane does not contain any point with integers as both coordinates?
(A) y = x
(B) y = x + 1/2
(C) y = x + 5
(D) y = x*1/2
(E) y = x/2 + 5
The answer is y=x+1/2, since for any integer value of x, y becomes integer and a half: .
Answer: B.
(A) y = x
(B) y = x + 1/2
(C) y = x + 5
(D) y = x*1/2
(E) y = x/2 + 5
The answer is y=x+1/2, since for any integer value of x, y becomes integer and a half: .
Answer: B.
General Discussion
07 Feb 2014, 12:52
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(A) y = x: Solving for x & y intercepts, we get (0, 0) Integer
(B) y = x + 1/2: Solving for x & y intercepts, we get (-1/2, 1/2) Non-Integer (Correct)
(C) y = x + 5: Solving for x & y intercepts, we get (-5, 5) Integer
(D) y = x*1/2: Solving for x & y intercepts, we get (0, 0) Integer
(E) y = x/2 + 5: Solving for x & y intercepts, we get (-10, 5) Integer
(B) y = x + 1/2: Solving for x & y intercepts, we get (-1/2, 1/2) Non-Integer (Correct)
(C) y = x + 5: Solving for x & y intercepts, we get (-5, 5) Integer
(D) y = x*1/2: Solving for x & y intercepts, we get (0, 0) Integer
(E) y = x/2 + 5: Solving for x & y intercepts, we get (-10, 5) Integer
