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In a plane there are 37 straight lines, ...

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

A

535

B

601

C

728

D

963

Text Solution

Verified by Experts

The correct Answer is:
A
`because`13 lines pass through A and 11 lines pass through B.
`therefore`Number of intersection points
`=.^(37)C_(2)-.^(13)C_(2)-.^(11)C_(2)+2" "[because" two points A and B"]`
`=535`
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