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

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

Find the number of point of intersection of two straight lines .

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.

Draw any 3 lines that are not concurrent. Find the number of points of intersection.

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.

Prove that the maximum number of points with rational coordinates on a circle whose center is (sqrt(3),0) is two.

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

Consider a circle with its centre lying on the focus of the parabola, y^2=2px such that it touches the directrix of the parabola. Then a point of intersection of the circle & the parabola is: