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  • 2.It is given that there are 6 straight lines in a plane so that no three of them are concurrent and no two are parallel.Then the number of poiunts of intersection among the given six straight lines is a)6 b)12 c)15 d)3

2.It is given that there are 6 straight lines in a plane so that no three of them are concurrent and no two are parallel.Then the number of poiunts of intersection among the given six straight lines is a)6 b)12 c)15 d)3

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Since;no;two;straight;lines;are;parallel;to;each;other.\*So;all; straight;lines;intersect;with;the;rest;of;5;lines.\* Since;no;three;of;them;are;concurrent,;all;intersections;are; separate,\* and;at;each;intersection;there;are;exactly;two;straight; lines;meeting.\* Number;of;intersections;is=pairs;of;straight;lines\* Rightarrow _^6 extrmC_2=frac6!(6-2)!=6 imes 5=30\* But;here;we;have;repeated;line;so,\* Rightarrow the;number; of; points; of ;intersection ;among ;the; given; six; straight; lines\* is; frac302=15

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Deependra Verma

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