A) 535
B) 601
C) 728
D) None of these
Correct Answer: A
Solution :
The number of points of intersection of 37 straight lines is\[^{37}{{C}_{2}}\]. But 13 of them pass through the point\[A\]. Therefore instead of getting \[^{13}{{C}_{2}}\] points we get merely one point. Similarly 11 straight lines out of the given 37 straight lines intersect at\[B\]. Therefore instead of getting \[^{11}{{C}_{2}}\] points, we get only one point. Hence the number of intersection points of the lines is\[^{37}{{C}_{2}}{{-}^{13}}{{C}_{2}}{{-}^{11}}{{C}_{2}}+2=535\].You need to login to perform this action.
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