How many lines can be drawn through 21 points | vedclass

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(B) To form a line,we need to select $2$ distinct points from the given set of points.Since no $3$ points are collinear (as they lie on a circle),ever

Vedclass · Accepted Answer

$210$

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(B) To form a line,we need to select $2$ distinct points from the given set of points.Since no $3$ points are collinear (as they lie on a circle),every pair of points determines a unique line.The number of lines that can be drawn through $n$ points is given by the combination formula $C(n, 2) = \frac{n(n-1)}{2}$.Here,$n = 21$.Therefore,the number of lines $p = C(21, 2) = \frac{21 	imes 20}{2} = 21 	imes 10 = 210$ lines.

How many lines can be drawn through $21$ points on a circle?

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