Total numbers of regions in which 'n' coplanar lines can divide the plane, if it is known that no two lines are parallel and no three of them are concurrent, is equal to

Total numbers of regions in which |'n:)' coplanar lines can divide the plane,if it is known that no two lines are parallel and no three of them are concurrent,is equal to

The maximum number of regions in which 10 circle can divide a plane is

The maximum number of regions in which 10 circle can divide a plane is:

Let f(n) be the number of regions in which n coplanar circles can divide the plane. If it is known that each pair of circles intersect in two different points and no three of them have common points of intersection, then (i) f(20) = 382 (ii) f(n) is always an even number (iii) f^(-1)(92) = 10 (iv) f(n) can be odd

Let f(n) be the number of regions in which n coplanar circles can divide the plane. If it is known that each pair of circles intersect in two different points and no three of them have common points of intersection, then (i) f(20) = 382 (ii) f(n) is always an even number (iii) f^(-1)(92) = 10 (iv) f(n) can be odd

Let f(n) be the number of regions in which n coplanar circles can divide the plane.If it is known that each pair of circles intersect in two different points and no three of them have common points of intersection,then (i) f(20)=382( ii )f(n) is always an even number (iii) f^(-1)(92)=10(iv)f(n) can be odd

There are 20 straight lines in a plane so that no two lines are parallel and no three lines are concurrent. Determine the number of points of intersection.

25 lines are drawn in a plane. Such that no two of them are parallel and no three of them are concurrent. The number of points in which these lines intersect, is: