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  • In a plane there are 37 straight lines, of which 13 pass through the point A and 11 pass through the point B. Besides, no three lines pass through one point, no lines passes through both

In a plane there are 37 straight lines, of which 13 pass through the point A and 11 pass through the point B. Besides, no three lines pass through one point, no lines passes through both points A and B, and no two are parallel, then the number of intersection points the lines have is equal to
 

Option: 1

535


Option: 2

728
 


Option: 3

601
 


Option: 4

963


Answers (1)

best_answer

 

\therefore Number of intersection points 

          ={ }^{37} C_2-{ }^{13} C_2-{ }^{11} C_2+2

          \because\text{( two points A and B)}=535

Posted by

Ritika Harsh

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