Home
Class 11
MATHS
In a polygon, no three diagonals are c...

In a polygon, no three diagonals are concurrent. If the total number of points of intersection of diagonals interior to the polygon is 70, then the number of diagonals of the polygon is
a. `20` b. `28` c. `8` d. none of these

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE PUBLICATION|Exercise All Questions|177 Videos

  • PROBABILITY

    CENGAGE PUBLICATION|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

A polygon has 44 diagonals the number of sides of the polygon is

The number of diagonals of a polygon of n sides is-

Find the number of diagonals of a polygon having sides 10.

Find the number of diagonals in a polygon with n sides.

The interior angles of a regular polygon measure 150^@ each. The number of diagonals of the polygon is

No of diagonals of a 12 sided polygon are

The number of diagonals in a polygon is 20. The number of sides of the polygon is:

If, the number of-diagonals of a- polygon is 44. Find the number of sides of that polygon.

CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
  1. The number of ways in which three distinct numbered in an increasing A...

    Text Solution

    |

  2. Let f(n ,k) denote the number of ways in which k identical balls c...

    Text Solution

    |

  3. In a polygon, no three diagonals are concurrent. If the total number...

    Text Solution

    |

  4. Straight lines are drawn by joining m points on a straight line of ...

    Text Solution

    |

  5. A man has three friends. The number of ways he can invite one frien...

    Text Solution

    |

  6. The sum of all the numbers of four different digits that can be mad...

    Text Solution

    |

  7. The sum of digits in the unit's place of all numbers formed with th...

    Text Solution

    |

  8. A person has n friends. The minimum value of n so that a person can in...

    Text Solution

    |

  9. There are n distinct white and n distinct black ball. If the number ...

    Text Solution

    |

  10. Numbers from 1 to 1000 are divisible by 60 but not by 24 is .

    Text Solution

    |

  11. If the number of ways in which the letters of the word ABBCABBC can...

    Text Solution

    |

  12. A class has three teachers, Mr. P , Ms. Q, and Mrs. R and six stude...

    Text Solution

    |

  13. Column I, Column II The number of five-digit numbers having the ...

    Text Solution

    |

  14. The number of words of four letters containing equal number of vowe...

    Text Solution

    |

  15. The number of ways in which we can select four numbers from 1 to 30...

    Text Solution

    |

  16. The total number of three-letter words that can be formed from the ...

    Text Solution

    |

  17. The number of different seven digit numbers that can be written using ...

    Text Solution

    |

  18. The number of ways of arranging m positive and n(lt m+1) negative si...

    Text Solution

    |

  19. The number of ways to fill each of the four cells of the table with a ...

    Text Solution

    |

  20. A library has a copies of one book, b copies each of two books, c ...

    Text Solution

    |