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19 Jul 2019, 00:41
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
41% (01:38) correct
59%
(01:51)
wrong
based on 208
sessions
History
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Time
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Not Attempted Yet
Does the point (p, q) lie on the line y = mx + c (p, m, and c are non-zero)?
(1) The line y = mx – c passes through the point (p, q).
(2) The line y = –mx + c passes through the point (p, q).
(1) The line y = mx – c passes through the point (p, q).
(2) The line y = –mx + c passes through the point (p, q).
Bunuel
Does the point (p, q) lie on the line y = mx + c (p, m, and c are non-zero)?
(1) The line y = mx – c passes through the point (p, q).
(2) The line y = –mx + c passes through the point (p, q).
(1) The line y = mx – c passes through the point (p, q).
(2) The line y = –mx + c passes through the point (p, q).
Given: p, m, and c are non-zero
Asked: Does the point (p, q) lie on the line y = mx + c ?
(1) The line y = mx – c passes through the point (p, q).
Line y=mx-c is parallel to y=mx+c but they are same when c=0 which is not the case.
so no intersection point exists.
If (p,q) lie on line y=mx+c => (p,q) does not lie on y=mx-c
SUFFICIENT
(2) The line y = –mx + c passes through the point (p, q).
Intersection point of y=mx+c and y=-mx+c is (0,c)
Since p<>0 indicates that (p,q) is not the intersection point of lines y=mx+c and y=-mx+c.
If (p,q) lie on line y=mx+c => (p,q) does not lie on y=-mx+c
SUFFICIENT
IMO D
General Discussion
23 Jul 2019, 01:41
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Kinshook
Bunuel
Does the point (p, q) lie on the line y = mx + c (p, m, and c are non-zero)?
(1) The line y = mx – c passes through the point (p, q).
(2) The line y = –mx + c passes through the point (p, q).
(1) The line y = mx – c passes through the point (p, q).
(2) The line y = –mx + c passes through the point (p, q).
Given: p, m, and c are non-zero
Asked: Does the point (p, q) lie on the line y = mx + c ?
(1) The line y = mx – c passes through the point (p, q).
Line y=mx-c is parallel to y=mx+c so no intersection point exists. They are same only when c=0 which is not the case.
If (p,q) lie on line y=mx+c => (p,q) does not lie on y=mx-c
SUFFICIENT
(2) The line y = –mx + c passes through the point (p, q).
Intersection point of y=mx+c and y=-mx+c is (0,c)
Since p<>0 indicates that (p,q) is not the intersection point of lines y=mx+c and y=-mx+c.
If (p,q) lie on line y=mx+c => (p,q) does not lie on y=-mx+c
SUFFICIENT
IMO D
