Assertion: If each of m points on one straight line be joined to each of n points on the other straight line terminated by the points, then number of points of intersection of these lines excluding the points on the given lines is `(mn(m-1)(n-1))/2` Reason: Two points on one line and two points on other line gives one such point of intersection. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not the correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Write the maximum number of points of intersection of 8 straight lines in a plane.

m points on one straight line are joined to n points on another straight line. The number of points of intersection of the line segments thus formed is (A) ^mC-2.^nC_2 (B) (mn(m-1)(n-1))/4 (C) (^mC_2.^nC_2)/2 (D) ^mC_2+^nC_2

Assertion: Number of triangles formed by n concurrent lines and a line which is parallel to one of the n concurrent lines is "^(n-1)C_2. Reason: One and only one triangle is formed by three lines out of which 2 are concurrent and third line is not passing through the point of intersection of the concurrent lines and not parallel to any of the concurrent lines. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not the correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

The maximum possible number of points of intersection of 8 straight lines and 4 circles is

The greatest possible number of points of intersection of 8 straight lines and 4 circles is:

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.

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.

There are n-points (ngt2) in each to two parallel lines. Every point on one line is joined to every point on the other line by a line segment drawn within the lines. The number of point (between the lines) in which these segments intersect, is

Two straight lines pass through the fixed points (+-a, 0) and have slopes whose products is pgt0 Show that the locus of the points of intersection of the lines is a hyperbola.

Two straight lines pass through the fixed points (+-a, 0) and have slopes whose products is pgt0 Show that the locus of the points of intersection of the lines is a hyperbola.