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If each of the two lines p and q are parallel to line r , which of the

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If each of the two lines p and q are parallel to line r , which of the  [#permalink]

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New post 04 Oct 2018, 01:59
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A
B
C
D
E

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  35% (medium)

Question Stats:

45% (00:42) correct 55% (00:30) wrong based on 29 sessions

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If each of the two lines p and q are parallel to line r , which of the following MUST be correct?

I. Lines p, q and r lie in the same plane.
II. Lines p and q are parallel to one another.
III. Line p is the same as line q.

(A) Only I
(B) Only II
(C) Only III
(D) Only I and II
(E) Only II and III

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Re: If each of the two lines p and q are parallel to line r , which of the  [#permalink]

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New post 04 Oct 2018, 03:46
Bunuel wrote:
If each of the two lines p and q are parallel to line r , which of the following MUST be correct?

I. Lines p, q and r lie in the same plane.
II. Lines p and q are parallel to one another.
III. Line p is the same as line q.

(A) Only I
(B) Only II
(C) Only III
(D) Only I and II
(E) Only II and III


each of the two lines p and q are parallel to line r

I. Lines p, q and r lie in the same plane. NOT NECESSARILY TRUE because p and r may be in one plane and q and r may be in other plane
II. Lines p and q are parallel to one another. MUST BE TRUE because p and r may be in one plane and q and r may be in other plane but a plane that concsists of p and q will make two lines parallel to each other
III. Line p is the same as line q. NOT NECESSARILY TRUE because p and r may be in one plane and q and r may be in other plane and p and q may not be overlapping lines

Answer: Option B
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Re: If each of the two lines p and q are parallel to line r , which of the  [#permalink]

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New post 04 Oct 2018, 20:06
Hi

chetan2u

I have a problem with st1.

Let's take plane of x and y axis. Let p and q fall in this plane and be parallel to r.

Let r fall in other plane y and z.

In order to know that r is parallel it must lie in x - y otherwise, how can we determine if that the lines are parallel ?

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Re: If each of the two lines p and q are parallel to line r , which of the &nbs [#permalink] 04 Oct 2018, 20:06
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