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# ax + by + c = 0 is termed as a first-degree equation in x and y. When

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Senior Manager
Joined: 25 Dec 2018
Posts: 484
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
GPA: 3.4
WE: Engineering (Consulting)
ax + by + c = 0 is termed as a first-degree equation in x and y. When  [#permalink]

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06 Mar 2019, 01:24
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Difficulty:

45% (medium)

Question Stats:

55% (01:17) correct 45% (01:54) wrong based on 33 sessions

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ax + by + c = 0 is termed as a first-degree equation in x and y. When the solution of the given equation, ax + by + c =0 is plotted on a graph it yields a straight line L. Now, which of the following must be true?

(1) If a = 0 and b ≠ 0, then L will be a horizontal line.
(2) If b = 0 and a ≠ 0, then L will be a vertical line.
(3) If c = 0, then L passes through the origin.

A) 1 only
B) 2 only
C) 1 and 2
D) 2 and 3
E) 1, 2 and 3
Manager
Joined: 11 Dec 2013
Posts: 121
Location: India
GMAT Date: 03-15-2015
WE: Education (Education)
ax + by + c = 0 is termed as a first-degree equation in x and y. When  [#permalink]

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06 Mar 2019, 20:33
According to the statements
1) y = constant , graph will be a horizontal line
2) x = constant , graph will be a vertical line
3) c=0, ax+by=0 , hence will pass through origin

IMO E
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Senior Manager
Joined: 25 Feb 2019
Posts: 336
Re: ax + by + c = 0 is termed as a first-degree equation in x and y. When  [#permalink]

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06 Mar 2019, 20:40
IMO E ,

when a=0 , it gives equation of line parallel to x

when b=0 , it gives equation of line parallel to y axis

when c= 0 , then

ax+by=0 , now this equation satisfied by the coordinates of the center(0,0)

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Re: ax + by + c = 0 is termed as a first-degree equation in x and y. When   [#permalink] 06 Mar 2019, 20:40
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