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23 May 2020, 07:37
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D
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Difficulty:
5%
(low)
Question Stats:
85% (00:44) correct
15%
(00:55)
wrong
based on 277
sessions
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Is line ℓ parallel to the y-axis?
(1) The equation of line ℓ is x = 4.
(2) The points (4,2) and (4,–5) are on line ℓ.
DS21220
(1) The equation of line ℓ is x = 4.
(2) The points (4,2) and (4,–5) are on line ℓ.
DS21220
23 May 2020, 07:42
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Bunuel
Asked: Is line ℓ parallel to the y-axis?
(1) The equation of line ℓ is x = 4.
Equation of y -axis : x=0
Line l : x=4 is parallel to line x=0 (y-axis)
SUFFICIENT
(2) The points (4,2) and (4,–5) are on line ℓ.
Equation of line passing through points (4,2) and (4,–5) : x=4
Equation of y -axis : x=0
Line l : x=4 is parallel to line x=0 (y-axis)
SUFFICIENT
IMO D
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23 May 2020, 22:58
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Bunuel
Statement 1: The equation of line ℓ is x = 4.
=> y = 0.
=> equation of the line: x = 4.
=> line l is || to the y axis.
Thus Sufficient.
Statement 2: The points (4,2) and (4,–5) are on line ℓ.
=> Line is passing through x axis for different values of y.
If we plot these 2 points on the graph, we get a line || to y axis.
So Sufficient.
Answer D.
