Straight lines are drawn by joining `m` points on a straight line of `n` points on another line. Then excluding the given points, the number of point of intersections of the lines drawn is (no tow lines drawn are parallel and no these lines are concurrent). a. `4m n(m-1)(n-1)` b. `1/2m n(m-1)(n-1)` c. `1/2m^2n^2` d. `1/4m^2n^2`

There are m points on the line AB and n points on the line AC ,excluding the point A. Triangles are formed joining these points

There are m points on the line AB and n points on the line AC, excluding the point A. Triangles are formed joining these points

If m parallel lines in a plane are intersected by a family of n parallel lines, the number of parallelograms that can be formed is a. 1/4m n(m-1)(n-1) b. 1/4m n(m-1)(n-1) c. 1/4m^2n^2 d. none of these

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

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

If m parallel lines in a plane are intersected by a family of n parallel lines, the number of parallelograms that can be formed is a. 1/4m n(m-1)(n-1) b. 1/4m n(m-1) c. 1/4m^2n^2 d. none of these

If m parallel lines in a plane are intersected by a family of n parallel lines, the number of parallelograms that can be formed is a. 1/4m n(m-1)(n-1) b. 1/4m n(m-1) c. 1/4m^2n^2 d. none of these

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.

A straight line passes through the points (2,4) and (5,-2) Mark these points on a graph paper and draw the straight line through these points. If points (m,-4) and (3,n) lie on the line drawn, find the values of m and n.