Home
Class 12
MATHS
Let L(1) and L(2) be two lines intersect...

Let `L_(1)` and `L_(2)` be two lines intersecting at P. If `A_(1),B_(1),C_(1)` are points on `L_(1),A_(2),B_(2),C_(2),D_(2),E_(2)` are points on `L_(2)` and if none of these coincides with P, then the number of triangles formed by these 8 points is

A

56

B

55

C

46

D

45

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos

  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise EXERCISE-I|60 Videos

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos

  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

Similar Questions

Explore conceptually related problems

If (a_(1), b_(1), c_(1)), (a_(2), b_(2), c_(2)) are d.r.'s of two perpendicular lines then

A(1,1),B(-2,3) are two points. If a point P forms a triangle of area 2 square units with A,B then find the locus of P.

A(1,1) , B (-2,3) are two points . If a point P forms a triangle of are 2 square units with A, B then find the locus of P.

If (l_(1),m_(1),n_(1)) and (l_(2),m_(2),n_(2)) are the direction cosines of two lines find the direction cosines of the line which is perpendicular to both these lines.

Three parallel straight lines L_i,L_2 " and " L_3 lie on the same plane. Consider 5 points on L_i 7 points on L_2 and 9 pionts on L_3 . Then the maximum possible number of triangles formed with vertices these points, is

If (l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2)) are direction cosines of two lines which inculude an angle 120^(@) , then the direction cosines of the line which bisects the angle between them is

Consider three planes P _(1) = x-y + z=1 , P_(2) = x + y -z = -1 and P _(3) , x - 3y + 3z =2. Let L_(1), L_(2) and L_(3) be the lines of intersection of the planes P _(2) and P _(3) , P _(3) and P _(1), and P _(2), respectively Statement -1: At least two of the lines L _(1), _(2) and L _(3) are non-parallel . Statement -1: the three planes fo not have a common point

A(2, 1) and B(1, 2) are two points. If P is a point such that PA : PB = 2:1 , then the locus of P is

AAKASH SERIES-PERMUTATIONS & COMBINATIONS-EXERCISE-II
  1. In a plane there are 10 points, no three are in same straight line exc...

    Text Solution

    |

  2. In a plane there are 10 points, no three are in same straight line exc...

    Text Solution

    |

  3. Let L(1) and L(2) be two lines intersecting at P. If A(1),B(1),C(1) ar...

    Text Solution

    |

  4. The sides AB,BC,CA of a Delta ABC have 3,4and 5 interior poin...

    Text Solution

    |

  5. Suppose t(n) is the number of triangles formed using the vertices of a...

    Text Solution

    |

  6. IF T(n) dentoes the number of triangle formed with n points in ...

    Text Solution

    |

  7. Tm denotes the number of triangles that can be formed with the ...

    Text Solution

    |

  8. There are two parallel lines, one having 10 points and the other havin...

    Text Solution

    |

  9. The number of triangles that can be formed with 10 points as vertices,...

    Text Solution

    |

  10. A regular polygon of n sides is constructed. No. of ways 3 vertices be...

    Text Solution

    |

  11. The number of triangle whose vertices are at the vertices of an ...

    Text Solution

    |

  12. The maximum number of points of intersection of 8 circles is

    Text Solution

    |

  13. The maximum number of points of intersection of 4 circles and 4 straig...

    Text Solution

    |

  14. A regular polygon has 23 vertices and consequently 23 sides. The numbe...

    Text Solution

    |

  15. Number of ways of selecting two squares having common side in a chess ...

    Text Solution

    |

  16. Number of unit squares in a chess board is

    Text Solution

    |

  17. In a plane there are two families of lines y = x+c, y=-x+c where ce{0,...

    Text Solution

    |

  18. In a book-stall, there are 4 copies of one book, 5 copies of another a...

    Text Solution

    |

  19. the number of products that can be formed with 10 prime numbers ...

    Text Solution

    |

  20. In the intermediate examination a candidate has to pass in each ...

    Text Solution

    |