Home
Class 12
MATHS
The number of parallelograms that can be...

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel line intersecting another set of three parallel lines is:

A

6

B

18

C

12

D

9

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|233 Videos
  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos

Similar Questions

Explore conceptually related problems

l and m are two parallel lines intersected by another pair of parallel lines p and q . Show that DeltaABC~= DeltaCDA .

l and m are two parallel lines intersected by another pair of parallel lines p and q. Show that triangleABC ~= triangleCDA

The number of triangles that are formed by choosing the vertices from a set of 12 points , seven of which lie on the same line, is :

m parallel lines in a plane are intersected by a family of n parallel lines. The total number of parallelograms so formed is :

The number of functions that can be formed from the set A={a, b, c, d} into the set B={1,2,3} is equal to

Find the measure of each angle indicated in each figure where l and m are parallel lines intersected by transversal n.

A parallelogram is cut by two sets of m lines parallel to the sides, the number of parallelograms thus formed is

A parallelogram is cut by two sets of m lines parallel to the sides. The number of parallelograms thus formed is

There are n straight lines in a plane such that n_(1) of them are parallel in onne direction, n_(2) are parallel in different direction and so on, n_(k) are parallel in another direction such that n_(1)+n_(2)+ . .+n_(k)=n . Also, no three of the given lines meet at a point. prove that the total number of points of intersection is (1)/(2){n^(2)-sum_(r=1)^(k)n_(r)^(2)} .

State whether the following statements are true or false : Two intersecting lines cannot both be parallel to the same line.

HIMALAYA PUBLICATION-PERMUTATION AND COMBINATIONS-Question Bank
  1. The number of 5- digit telephone number having at least one of the...

    Text Solution

    |

  2. The number of ways in which a team of eleven players can be selected ...

    Text Solution

    |

  3. The number of parallelograms that can be formed from a set of four par...

    Text Solution

    |

  4. The number of triangles that are formed by choosing the vertices from ...

    Text Solution

    |

  5. Everybody in a room shakes hand with everybody else. The total number ...

    Text Solution

    |

  6. A five digit number divisible by 3 is to be formed using the numbers 0...

    Text Solution

    |

  7. Total number of words formed by 2 vowels and 3 consonants taken from 4...

    Text Solution

    |

  8. The sum of the digits in unit place of all the numbers formed with the...

    Text Solution

    |

  9. The number of possible outcomes when a coin is tossed 6 times is :

    Text Solution

    |

  10. If '^(n)C(12) = ""^(n)C(8) then n is equal to

    Text Solution

    |

  11. The straight lines , l1,l2 and l3 are parallel and lie in the same pla...

    Text Solution

    |

  12. In an examination there are three multiple choice questions and each ...

    Text Solution

    |

  13. number of triangles formed with vertices at these points are

    Text Solution

    |

  14. How many different nine - digit numbers can be formed from the number ...

    Text Solution

    |

  15. Let A = {1, 2, 3, 4} and B = {1, 2}. Then the number of onto functions...

    Text Solution

    |

  16. Let Tn denote the number of triangles which can be formed using the ve...

    Text Solution

    |

  17. For 2le rlen,{:((n),(r)):}+2({:(n),(r-1):})({:(n),(r-2):})=

    Text Solution

    |

  18. The number of arrangements of the letters of the word ' BANANA ' in w...

    Text Solution

    |

  19. The sum sum(i=0)^(m)((10),(i))((20),(m-i)) (where ((p)/(q))=0, if pltq...

    Text Solution

    |

  20. If ""^(n-1)Cr=(k^2-3)""^nC(r+1), then kin :

    Text Solution

    |