Out of 30 points in a plane,8 of them are col | vedclass

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(C) The total number of points in a plane is $n = 30$. Since $8$ points are collinear,they do not form distinct lines when joined in pairs,except for

Vedclass · Accepted Answer

$408$

Vedclass · Answer

(C) The total number of points in a plane is $n = 30$. Since $8$ points are collinear,they do not form distinct lines when joined in pairs,except for the single line they all lie on. The formula for the number of lines formed by $n$ points where $m$ points are collinear is given by: $	ext{Number of lines} = {}^{n}C_{2} - {}^{m}C_{2} + 1$ Substituting the values $n = 30$ and $m = 8$: $	ext{Number of lines} = {}^{30}C_{2} - {}^{8}C_{2} + 1$ $= \frac{30 	imes 29}{2} - \frac{8 	imes 7}{2} + 1$ $= 435 - 28 + 1$ $= 408$

Out of $30$ points in a plane,$8$ of them are collinear. The number of straight lines that can be formed by joining these points is:

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