In a plane there are 37 straight lines, ...

In a plane there are 37 straight lines, of which 13 passes through the point A and 11 passes through point B. Besides, no three lines passes through one point no line passes through both points A and B and no two are parallel, then find the number of points of intersection of the straight line.

Text Solution

Verified by Experts

The correct Answer is:

535

Topper's Solved these Questions

PERMUTATION AND COMBINATION
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise H|10 Videos
PERMUTATION AND COMBINATION
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise I|10 Videos
PERMUTATION AND COMBINATION
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise F|27 Videos
MATHEMATICAL REASONING
NAGEEN PRAKASHAN ENGLISH|Exercise Misellaneous exercise|7 Videos
PRINCIPLE OF MATHEMATICAL INDUCTION
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 4.1|1 Videos

Similar Questions

Explore conceptually related problems

find the equation of the straight line which passes through the point (3,2) and whose gradient is 3.

Find the equation of the straight line which passes through the point (4, 5) and is parallel to 3x+ 4y = 5

Find the direction cosines of the line passing through two points

In ;a plane, there are 5 straight lines which will pass through a given point, 6 others which all pass through another given point, and 7 others which all as through a third given point. Supposing no three lines intersect at any point and no two are parallel, find the number of triangles formed by the intersection of the straight line.

In a plane, there are 5 straight lines which will pass through a given point, 6 others which all pass through another given point, and 7 others which all as through a third given point. Supposing no three lines intersect at any point and no two are parallel, find the number of triangles formed by the intersection of the straight line.

Find the gradient of a straight line which is passes through the point (-3. 6) and the mid point of (4,-5) and (-2, 9)

Find the equation of the straight line which passes through the point (1-2) and cuts off equal intercepts from axes.

Find the equation of a line passes through the point (1,3) and parallel to the line 3x-5y+7=0 .

Find the equation of the straight line which passes through the point (alpha, beta) and is parallel to the line lx+my+n=0

NAGEEN PRAKASHAN ENGLISH-PERMUTATION AND COMBINATION -Exercise G

In how many ways can 7 red and 6 black balls be arranged in a row, if ...
Text Solution
|
In how many ways can 12 white and 8 black balls be arranged in a row i...
Text Solution
|
A person invites a group of 10 friends at dinner and seats (i) 5 on ...
Text Solution
|
In an examination a minimum is to be secured in ech of 5 subjects for ...
Text Solution
|
It is necessary to pass in each subject out of 7 subjects in an examin...
Text Solution
|
Find the number of ways of getting 2 heads and 4 tails in 6 throws of ...
Text Solution
|
How many factors are there of the number 2520?
Text Solution
|
How may other factors are there of the number 37800?
Text Solution
|
Out of 4 mangoes, 5 bananas and 6 guava, find (i) number of ways in ...
Text Solution
|
There are 4 red, 3 black and 5 white balls in a bag. Find the number o...
Text Solution
|
There are 4 white, 3 black and 3 red balls in a bag. Find the number o...
Text Solution
|
In how many ways can 8 books be divided between 2 students, if they ge...
Text Solution
|
Find the number oif different sums that can be formed with one rupee, ...
Text Solution
|
How many different amounts can be formed with one-one coin of Rs 1, Rs...
Text Solution
|
In how many ways can 12 books be divided in 3 students equally?
Text Solution
|
In a plane there are 37 straight lines, of which 13 passes through the...
Text Solution
|
Find the number of (i) combinations. (ii) permutations of four lette...
Text Solution
|
Find the number of words formed containing 4 letters taken from the le...
Text Solution
|
In an electrion the coinvencing will be done by 20, 25 and 30 persons ...
Text Solution
|
From a class of 15 students, 10 are to be chosen. There are 3 students...
Text Solution
|