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Beyond Horizon Set 2 Paper 2 · Q8

Paper 2Algebra

Let A1,A2,A3A_1,A_2,A_3 be three points on a straight line. Let B1,B2,B3,B4,B5B_1,B_2,B_3,B_4,B_5 be five points on a straight line parallel to the first one. Each of the three points on the first line is joined by a straight line to each of the five points on the second line. Further, no three or more of these joining lines meet at a point except possibly at the A's or the B's. Then the number of points of intersections of the joining lines lying between the two given straight lines is

A3030
B2525
C3535
D2020

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