Home
Class 12
MATHS
A set of m parallel lines another a...

A set of m parallel lines another another set of n parallel lines in a plane . The number of parallelograms formed is

A

`""^(m)C_(2)xx ""^(n)C_(2)`

B

`""^(m)C_(3)xx""^(n)C_(2)`

C

`""^(m)C_(3)xx""^(n)C_(3)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -1|9 Videos
  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -2|5 Videos
  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A (PERMUTATIONS )|199 Videos
  • PARTIAL FRACTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|2 Videos
  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-4|5 Videos

Similar Questions

Explore conceptually related problems

A set of m parallel lines intersect another set of n parallel lines in a plane. The number of parallellograms formed is

Identity parallel lines

If a set of 'm' parallel lines intersect another set of 'n' parallel lines (not parallel to the lines in the first set), then find the number of parallelograms formed in this lattice structure.

Assertion (A) : If 5 parallel lines intersect 4 parallel lines, then the number of parallelograms formed is 80 Reason (R) : The number of parallelograms formed when a set of m parallel lines are intersecting another set of n parallel lines is ""^(m)C_(2)xx""^(n)C_(2) The correct answer is

There are 10 parallel lines intersected by a family of 5 parallel lines. The number of parallelograms thus formed in the net work is

If a set of in parallel lines intersect another set of parallel lines (not parallel to the lines in 1^("st") set) then find the number of parallelograms formed.

In a plane , a set of 8 parallel lines interset a set of n parallel lines forming a total of 420 parallelogram ( many of which overlap one an other ), then mn equals to

The slope of the line is 2/5 then the slope of the parallel of that line

DIPTI PUBLICATION ( AP EAMET)-PERMUTATIONS & COMBINATIONS-EXERCISE 1B (COMBINATIONS )
  1. The greatest number of points of intersection of 8 lines and 4 cir...

    Text Solution

    |

  2. In plane there are 37 straight lines , of which 13 pass throug...

    Text Solution

    |

  3. A set of m parallel lines another another set of n parallel l...

    Text Solution

    |

  4. The number of diagonals for an n sided polygon is

    Text Solution

    |

  5. The number of diagonal for an n sided polygon with 10 sides is

    Text Solution

    |

  6. The number oif diagonals of an octagons is

    Text Solution

    |

  7. The polygon in which the number of diagonals is equal to the numbe...

    Text Solution

    |

  8. IF a polygon has 35 diagonals , then the number of sides of t...

    Text Solution

    |

  9. The number of sides of a polygon having diagonals 44 is

    Text Solution

    |

  10. A polygon has 54 diagonals , then the number of its sides is :

    Text Solution

    |

  11. A regular polygon of n sides has170 digonals . Then n=

    Text Solution

    |

  12. IF a polygon of n sides has 275 diagonals then n=

    Text Solution

    |

  13. The number of triangle that can be formed by joining the vertices ...

    Text Solution

    |

  14. The number of triangle that can be formed by joining the angula...

    Text Solution

    |

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

    Text Solution

    |

  16. The number of rectangles formed in a chess board is

    Text Solution

    |

  17. If one square choosed randomly from chess board. Th probability of get...

    Text Solution

    |

  18. The number of rectangles which are not squares formed in a ches...

    Text Solution

    |

  19. The number of ways of selecting two having common side in a ches...

    Text Solution

    |

  20. From the two systems of lines x-h=0 , h=0,1,2,3,4,5 and y-k=0,1,2,3...

    Text Solution

    |