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

Options

A. 535
B. 601
C. 728
D. 963

Answer

A

Explanation

`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`