Home
Class 12
MATHS
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
Promotional Banner

Topper's Solved these Questions

  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-1 (Part-II RMO)|11 Videos

  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-I: Previous Asked Question for Pre RMO)|17 Videos

  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Self practice problems|30 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise High Level Problems (HLP)|35 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 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 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