Question

how many lines can pass through three no co- linear points

Answer 1

Three noncollinear points determine three lines, as was shown in Figure.

(a) How many lines are determined by four points, no three of which are collinear?

(b) How many lines are determined by five points, no three of which are collinear?

(c) How many lines are determined by npoints? Assume that no three points are collinear.

Figure

Figure Three points determine either three lines or one line



Step-by-Step Solution:

Step 1 of 3

(a)

We have to find the number of lines determined by four points, no three of which are collinear.



Therefore, there are 6 lines determined by four points, no three of which are collinear.

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