The maximum number of points of intersection of five lines and four circles is (A) `60` (B) `72` (C) `62` (D) none of these

The maximum number of points of intersection of 8 straight lines is

The maximum number of point interaction of 8 circles, is

Find the maximum number of points of intersection of 6 circles.

Find the maximum number of points of intersection of 7 straight lines and 5 circles when 3 straight lines are parallel and 2 circle and concentric.

Column I, Column II Number of straight lines joining any two of 10 points of which four points are collinear, p. 30 Maximum number of points of intersection of 10 straight lines in the plane, q. 60 Maximum number of points of intersection of six circles in the plane, r. 40 Maximum number of points of intersection of six parabolas, s. 45

(xiii) The point of intersection of the straight line ax+by=c on the x-axis is

There are three coplanar parallel lines. If any p points are taken on each of the lines, the maximum number of triangles with vertices on these points is a. 3p^2(p-1)+1 b. 3p^2(p-1) c. p^2(4p-3) d. none of these

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is 2 (b) 0 (c) 4 (d) 1

There are 10 points in a plane of which no three points are collinear and four points are concyclic. The number of different circles that can be drawn through at least three points of these points is (A) 116 (B) 120 (C) 117 (D) none of these

In a polygon, no three diagonals are concurrent. If the total number of points of intersection of diagonals interior to the polygon is 70, then the number of diagonals of the polygon is a. 20 b. 28 c. 8 d. none of these