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If X is a point on AB and A – X – B (X is between A and B), then AB =?

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If X is a point on AB and A – X – B (X is between A and B), then AB =?

(a) AX + XB

(b) AB – XB

(c) AB – XA

(d) AX – XB

The question was asked in exam.

Question is taken from Geometrical Construction topic in chapter Lettering Practice, Scales & Curves of Civil Engineering Drawing

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The correct answer is (a) AX + XB

For explanation I would say: The part of a line that connects two points. It has definite end points. Adding the word “segment” is important, because a line normally extends in both directions without end.  The figure shows a line segment AB with point C. Point C can divide the line segment in any ratio.

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