Home
Class 12
MATHS
IF T(n) dentoes the number of triangl...

IF `T_(n)` dentoes the number of triangle formed with n points in plane no three of which are collinear and If `T_(n+1) - T_(n)= 36` then n=

A

7

B

8

C

9

D

10

Text Solution

Verified by Experts

The correct Answer is:
C
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

There are 21 points in a plane no three of which are collinear . The number of triangle by joining them is

There are 21 points in a plane no three of which are collinear. The number of triangles formed by joining them is

The number of triangles that can be formed with 10 points as vertices, n of them being collinear, is 110 then n is

The number of triangle that can be formed by joining the vertices of a regular polygon of n sides is

Suppose t_(n) is the number of triangles formed using the vertices of a regular polygon of n sides. If t_(n+1)=t_(n)+28 then n=

Let T_(n) be the number of all possible triangles formed by joining vertices of an n - sided regular polygon . IF T_(n+1)-T _n=10 then the value of n is -

If the area of the triangle formed by the points (t, 2t), (-2, 6), (3, 1) is 5 sq.unit, then t is

The rate of change of sin t is n, then the rate of change of tan t is

The area of triangle formed by the points points and t_(1),t_(2) and t_(3) on y^(3) =4ax is k |(t_(1)-t_(2))(t_(2)-t_(3)) (t_(3)-t_(1))| then K =

AAKASH SERIES-PERMUTATIONS & COMBINATIONS-EXERCISE-II
  1. The sides AB,BC,CA of a Delta ABC have 3,4and 5 interior poin...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Number of unit squares in a chess board is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. There are 10 lamps in a hall. Each one of them can be switched on inde...

    Text Solution

    |

  19. A question paper has 5 questions. Each question has an alternative. Th...

    Text Solution

    |

  20. Given 5 different green dyes, 4 different blue dyes, 3 different red d...

    Text Solution

    |