Home
Class 12
MATHS
In a polygon, no three diagonals are ...

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

A

20

B

28

C

8

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise For Session 7|5 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise For Session 5|18 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|36 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

Similar Questions

Explore conceptually related problems

In a polygon no three diagonals are concurrent.If the total number of points of intersection of diagonals interior to the polygon is 35 and the number of diagonals is |'x|', number of sides is backslash'y:)' then (y,x)=

If a polygon has 8 sides, then the number of diagonals of the polygon is _____.

Write the number of diagonals of an n-sided polygon.

If a polygon has 6 sides, then the number of diagonals of the polygon is _______

Find the number of diagonals of a 10-sided polygon.

Find the number of diagonals of a 16-sided polygon.

A regular polygon has 20 sides. Find the number of diagonals of the polygon.

Find the numbers of diagonals in the polygon of n sides.

ARIHANT MATHS-PERMUTATIONS AND COMBINATIONS -Exercise For Session 6
  1. A person goes in for an examination in which there are four papers wit...

    Text Solution

    |

  2. The number of selections of four letters from the letters ofthe word A...

    Text Solution

    |

  3. The number of positive integral solutions of 2x(1)+3x(2)+4x(3)+5x(4)=2...

    Text Solution

    |

  4. If a,b, and c are positive integers such that a+b+cle8, the number of ...

    Text Solution

    |

  5. The total number of positive integral solution of 15<x1+x2+x3lt=20 is ...

    Text Solution

    |

  6. Find the total number of positive integral solutions for (x ,y ,z) suc...

    Text Solution

    |

  7. There are 12 points in a plane in which 6 are collinear. Number of dif...

    Text Solution

    |

  8. 4 points out of 11 points in a plane are collinear. Number of differen...

    Text Solution

    |

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

    Text Solution

    |

  10. ABCD is a convex quadrilateral and 3, 4, 5, and 6 points are marked...

    Text Solution

    |

  11. There are 10 points in a plane of which no three points are colline...

    Text Solution

    |

  12. 4 points out of 8 points in a plane are collinear. Number of different...

    Text Solution

    |

  13. There are 2n points in a plane in which m are collinear. Number of qua...

    Text Solution

    |

  14. In a polygon the number of diagonals is 54. the number of sides of the...

    Text Solution

    |

  15. In a polygon, no three diagonals are concurrent. If the total numbe...

    Text Solution

    |

  16. If n lines are drawn in a plane such that no two of them are parallel ...

    Text Solution

    |

  17. Six straight lines are in a plane such that no two are parallel & no t...

    Text Solution

    |

  18. The parallelogram is cut by two sets of m lines parallel to its sides....

    Text Solution

    |

  19. The number of rectangles excluding squares from a rectangle of size 11...

    Text Solution

    |

  20. The number of ways the letters of the word PERSON cann be placed in th...

    Text Solution

    |