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05 Feb 2018, 07:04
Kudos
Bookmarks
A
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Difficulty:
45%
(medium)
Question Stats:
65% (01:35) correct
35%
(01:55)
wrong
based on 206
sessions
History
Date
Time
Result
Not Attempted Yet
Lines \(l_m\) and \(l_n\) lie in the plane x and intersect one another on the perpendicular at point P. Which of the following statements must be true?
(A) A line which lies in plane x and intersects line \(l_m\) on the perpendicular at a point other than P does not intersect \(l_n\).
(B) Line segment MN, which does not intersect \(l_m\), does not intersect \(l_n\).
(C) If line \(l_o\) lies in plane y and intersects \(l_m\) at point P, plane y is perpendicular to plane x.
(D) A circle that lies in plane x and has two points in common with \(l_m\) also has two points in common with \(l_n\).
(E) A circle that has exactly one point in common with \(l_m\) and one point in common with \(l_n\) also lies in plane x.
(A) A line which lies in plane x and intersects line \(l_m\) on the perpendicular at a point other than P does not intersect \(l_n\).
(B) Line segment MN, which does not intersect \(l_m\), does not intersect \(l_n\).
(C) If line \(l_o\) lies in plane y and intersects \(l_m\) at point P, plane y is perpendicular to plane x.
(D) A circle that lies in plane x and has two points in common with \(l_m\) also has two points in common with \(l_n\).
(E) A circle that has exactly one point in common with \(l_m\) and one point in common with \(l_n\) also lies in plane x.
05 Feb 2018, 08:33
Kudos
Bookmarks
Bunuel
Lines \(l_m\) and \(l_n\) are at perpendicular..
so any line perpendicular to any of the lines will be PARALLEL to the second line and will NOT meet that line..
see attached figure ..
let Lo be the line perpendicular to Lm
this is exactly what A says
A
Attachments
lines 90.png [ 5.91 KiB | Viewed 4563 times ]
