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# Which of the following pairs of distinct lines or line segments cannot

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Math Expert
Joined: 02 Sep 2009
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Which of the following pairs of distinct lines or line segments cannot  [#permalink]

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14 Nov 2017, 23:50
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Question Stats:

82% (00:32) correct 18% (00:44) wrong based on 24 sessions

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Which of the following pairs of distinct lines or line segments cannot be parallel?

(A) Two chords of a circle
(B) Two tangents to a circle
(C) Two diameters of a circle
(D) A chord of a circle and a tangent to the circle
(E) A diameter of a circle and a tangent to the same circle.

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Re: Which of the following pairs of distinct lines or line segments cannot  [#permalink]

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15 Nov 2017, 02:47
C. There can only be one diameter. So the question of 2 diameters is out of question

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Re: Which of the following pairs of distinct lines or line segments cannot  [#permalink]

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15 Nov 2017, 08:48
Bunuel wrote:
Which of the following pairs of distinct lines or line segments cannot be parallel?

(A) Two chords of a circle
(B) Two tangents to a circle
(C) Two diameters of a circle
(D) A chord of a circle and a tangent to the circle
(E) A diameter of a circle and a tangent to the same circle.

Visualize the diagrams (Only 5 sec required to solve the question)

diameter is the longest chord of a circle , hence answer will be (C)

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Re: Which of the following pairs of distinct lines or line segments cannot  [#permalink]

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15 Nov 2017, 09:30
rahulswimmer wrote:
C. There can only be one diameter. So the question of 2 diameters is out of question

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There can be infinite diameters in a circle. It's just that those diameters will have to intersect each other.
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Re: Which of the following pairs of distinct lines or line segments cannot &nbs [#permalink] 15 Nov 2017, 09:30
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