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: 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.

Find the equation of the straight line passing through the point (2,1) and through the point of intersection of the lines x+2y = 3 and 2x-3y=4

Find the coordinates of points which trisect the line segment joining (1,-2)a n d(-3,4)dot

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

Find the equation of the right bisector of the line segment joining eth points A(1,0)a n d\ B(2,3)

Let N denotes,the greatest number of points in which m straight lines and n circles intersect. Then,

If the straight lines joining the origin and the points of intersection of y=mx+1 and x^2+y^2=1 are perpendicular to each other, then find the value of m .

There are n straight lines in a plane, no two of which are parallel and no three pass through the same point. Their points of intersection are joined. The number of fresh lines thus formed is

A line perpendicular to the in segment joining the points (1,0) and (2,3) divides it in the ratio 1: n . Find the equation of the line.

Find the distance of the point (1,\ 2) from the mid-point of the line segment joining the points (6,\ 8) and (2,\ 4) .