Straight lines are drawn by joining m po...

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`

Topper's Solved these Questions

LOGARITHM
CENGAGE PUBLICATION|Exercise All Questions|177 Videos
PROBABILITY
CENGAGE PUBLICATION|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is 2 (b) 0 (c) 4 (d) 1

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

Two straight lines intersected at a point O.points A_1,A_2….A_n are taken on one lines and points B_1,B_2…B_n on the other if the point O is not to be used the number of triangles that can be drawn using these points as vertices is

Tangents are drawn to the parabola y^2=4a x at the point where the line l x+m y+n=0 meets this parabola. Find the point of intersection of these tangents.

If n straight lines be drawn in a plane , no two of them being parallel and no three of them being concurrent , how many points of intersection will be there ?

There are n is straight lines in a plane in which no two are parallel and no three pass through the same point their points of intersection are joined show that the number of fresh lines thus introduced is (1/8)n(n-1)(n-2)(n-3)

Number of points of intersection of n straight lines if n satisfies .^(n+5)P_(n+1)=(11(n-1))/(2)xx.^(n+3)P_(n) is

If the straight line joining the points (3,4) and (2,-1) be parallel to the line joining the points (a,-2) and (4,-a), find the value of a.

The lines joining the origin to the point of intersection of The lines joining the origin to the point of intersection of 3x^2+m x y=4x+1=0 and 2x+y-1=0 are at right angles. Then which of the following is not a possible value of m ? -4 (b) 4 (c) 7 (d) 3

CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions

Let f(n ,k) denote the number of ways in which k identical balls c...
Text Solution
|
In a polygon, no three diagonals are concurrent. If the total number...
Text Solution
|
Straight lines are drawn by joining m points on a straight line of ...
Text Solution
|
A man has three friends. The number of ways he can invite one frien...
Text Solution
|
The sum of all the numbers of four different digits that can be mad...
Text Solution
|
The sum of digits in the unit's place of all numbers formed with th...
Text Solution
|
A person has n friends. The minimum value of n so that a person can in...
Text Solution
|
There are n distinct white and n distinct black ball. If the number ...
Text Solution
|
Numbers from 1 to 1000 are divisible by 60 but not by 24 is .
Text Solution
|
If the number of ways in which the letters of the word ABBCABBC can...
Text Solution
|
A class has three teachers, Mr. P , Ms. Q, and Mrs. R and six stude...
Text Solution
|
Column I, Column II The number of five-digit numbers having the ...
Text Solution
|
The number of words of four letters containing equal number of vowe...
Text Solution
|
The number of ways in which we can select four numbers from 1 to 30...
Text Solution
|
The total number of three-letter words that can be formed from the ...
Text Solution
|
The number of different seven digit numbers that can be written using ...
Text Solution
|
The number of ways of arranging m positive and n(lt m+1) negative si...
Text Solution
|
The number of ways to fill each of the four cells of the table with a ...
Text Solution
|
A library has a copies of one book, b copies each of two books, c ...
Text Solution
|
Three boys of class X, four boys of class XI, and five boys of clas...
Text Solution
|