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Question

Which of the following statements are true about points of trisection?

A
The points of trisection divides a line into 3 equal parts.
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B
There are 3 points of trisection.
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C
The points of trisection divide a line in the ratios of 1 : 2 and 2 : 1.
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D
The points of trisection need not lie on the line joining the two points.
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Solution

The correct options are
A The points of trisection divides a line into 3 equal parts.
C The points of trisection divide a line in the ratios of 1 : 2 and 2 : 1.
Points of trisection divide a line into 3 equal parts. We need only two points to divide a line into 3 equal parts.
Hence the first point divides the line in the ratio of 1 : 2 whereas the second point divides it in the ratio of 2 : 1.

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