Home
Class 12
MATHS
Let T(n) denote the number of triangles ...

Let `T_(n)` denote the number of triangles which can be formed by using the vertices of a regular polygon of `n` sides. If `T_(n + 1) - T_(n) = 36`, then `n` is equal to

A

4

B

5

C

6

D

7

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|25 Videos
  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION (LAB Work )|1 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|194 Videos

Similar Questions

Explore conceptually related problems

Let T_(n) denote the number of triangles which can be formed by using the vertices of a regular polygon of n sides. If T_(n+1)-T_(n)=28 Then n =

The number of triangles which can be formed by using the vertices of a regular polygon of (n + 3) sides is 220. Then n =

The number of triangles that can be formed with 10 points as vertices n of them being collinear, is 110. Then n is a. 3 b. 4 c. 5 d. 6

the sum of the radii of inscribed and circumscribed circules for an n sides regular polygon of side a, is

Find the number of diagonals in the convex polygon of n sides .

Let P_n denotes the number of ways in which three people can be selected out of 'n' people sitting in a row, if no two of them are consecutive. If P_(n+1)- P_n=15 then the value of 'n is____.

If P_(n) denotes the product of all the coefficients of (1+x)^(n) and 9!P_(n+1)=10^(9)P_(n) then n is equal to

A rectangle with sides of lengths (2n-1) and (2m-1) units is divided into squares of unit length. The number of rectangles which can be formed with sides of odd length, is (a) m^2n^2 (b) mn(m+1)(n+1) (c) 4^(m+n-1) (d) non of these

NEW JOYTHI PUBLICATION-BINOMIAL THEOREM-QUESTIONS FROM COMPETITIVE EXAMS
  1. Let f (x) = [x] , where [x] denotes the greater integer less t...

    Text Solution

    |

  2. If ninN,"then "3^(2n+2)-8n-9 is divisible by

    Text Solution

    |

  3. Let T(n) denote the number of triangles which can be formed by using t...

    Text Solution

    |

  4. The coefficient of the middle term in the expansion of (x + 2y)^(6) is

    Text Solution

    |

  5. Let (1 + x)^(n) = 1 + a(1)x + a(2)x^(2) + ... + a(n)x^(n). If a(1),a(2...

    Text Solution

    |

  6. If the sum of the coefficients in the expansion of (a^(2)x^(2) - 6ax +...

    Text Solution

    |

  7. The sum of coefficients in the expansion of (x^(2) - 1/3)^(199) xx (x^...

    Text Solution

    |

  8. If (1 + ax)^(n) = 1 + 6x + 27/2 x^(2) + ...... + a^(n)x^(n), then the ...

    Text Solution

    |

  9. Which one of the following is true?

    Text Solution

    |

  10. When 2^(1505) is divided by 9, the remainder is

    Text Solution

    |

  11. The term independent of x in the expansion of (x + 1/x^())^(6) is

    Text Solution

    |

  12. The sum of coefficitents in the expansion of (1 + 3x -3x^(2))^(1143) i...

    Text Solution

    |

  13. The constant term in the expansion of [1 - (x - 2)^(2)]^(10 is equal t...

    Text Solution

    |

  14. Let t(n) denote the n^(th) term in a binomial expansion. If t(6)/t(5) ...

    Text Solution

    |

  15. The middle term in the expansion of (10/x + x/10)^(10) is

    Text Solution

    |

  16. The coefficient of x^(49) in the product (x - 1) (x - 2) (x - 3) ........

    Text Solution

    |

  17. The sum of the coefficients in the binomial expansion of (1/x + 2x)^(6...

    Text Solution

    |

  18. The value of ""^(2)P(1) + ^(3)P(1) + ...... + ^(n)P(1) equal to

    Text Solution

    |

  19. The positive integer just greater than (1 + .0001)^(10000) is

    Text Solution

    |

  20. r and n are positive integers r gt 1,n gt 2 and coefficient of (r + 2)...

    Text Solution

    |