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Question

Which of the following are not intersecting lines ?

A
(i) and (iii)
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B
(iv) and (v)
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C
(v) and (ii)
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D
(i) and (v)
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Solution

The correct option is D (i) and (v)
In (i) and (v) the distance between two lines is constant. So, they are parallel and not intersecting.
In (ii) and (iv) they are intersecting lines and intersect at a common point.
In (iii), Though they are not shown as intersecting lines, the distance between them is not equal and hence if we extend one of the lines they will intersect at some point. Hence these lines can be termed as intersecting lines.

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