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

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

There are 10 points on a plane of which no three points are collinear. If lines are formed joining these points, find the maximum points of intersection of these lines.

Let's try and find the answers : (x) Lets find the maximum number of points at which three non - concurrent lines can in intersect.

Fill in the blanks Maximum number of common tangent of two intersecting circles is______.

The parabola y^2=4x and the circle having its center at (6, 5) intersect at right angle. Then find the possible points of intersection of these curves.

A rod AB is moving on a fixed circle of radius R with constant velocity v as shown in figure. P is the point of intersection of the rod and the circle. At an instant the rod is at a distance x=(3R)/(5) from centre of the circle. The velocity of the rod is perpendicular to the rod and the rod is always parallel to the diameter CD. (i) Find the speed of point of intersection P. (b) Find the angular speed of point of intersection P with respect to centre of the circle.