Home
Class 11
MATHS
A parallelogram is cut by two sets of m ...

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

A

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

B

`(""^(m+1)C_(2))^(2)`

C

`(""^(m+2)C_(2))^(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos
  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|9 Videos
  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
  • PROBABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|45 Videos

Similar Questions

Explore conceptually related problems

The parallelogram is cut by two sets of m lines parallel to its sides. The numbers parallelogram thus formed, is

A parallelogram is cut by two set of n parallel lines, parallel to the sides of the parallelo-gram. The number of parallelograms formed is

Assertion: If m parallel lines are intersected by n other parallel llines, then the number of parallelograms thus formed is (mn(m-1)(n-1))/4 , Reason: A selection of 4 lines 2 from m parallel lines and 2 from n parallel lines gives one parallelogram. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not the correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

If m parallel lines in a plane are intersected by a family of n parallel lines, the number of parallelograms that can be formed is a. 1/4m n(m-1)(n-1) b. 1/4m n(m-1) c. 1/4m^2n^2 d. none of these

A parallelogram is such that its length is 5 cm less than twice its breadth. If the perimeter of the parallelogram is 44 cm, find the length of its sides.

There are n straight lines in a plane, no two of which are parallel and no three pass through the same point. Their points of intersection are joined. The number of fresh lines thus formed is

One side of a parallelogram is 20cm and its distance from the opposite side is 16cm. Find the area of the parallelogram.

In a parallelogram, the ratio of the two adjacent sides is 1 : 2. If the area of the parallelogram is 20 square units and the angle beween the two sides is 45^(@) , what is the area, to the nearest integer, of the rectangle having the sides equal to that of the parallelogram?

If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram.

If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram.

OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Exercise
  1. 1, 2, 3, 4 are four numbers. How many numbers can be made using all fo...

    Text Solution

    |

  2. There were two women participating in a chess tournament. Every par...

    Text Solution

    |

  3. A parallelogram is cut by two sets of m lines parallel to its sides. T...

    Text Solution

    |

  4. There are n straight lines in a plane in which no two are parallel and...

    Text Solution

    |

  5. Out of 18 points in as plane, no three points are in the same straight...

    Text Solution

    |

  6. Given 5 different green dyes, four different blue dyes and three diffe...

    Text Solution

    |

  7. Eight chairs are numbered 1 to 8. Two women and three men wish to oc...

    Text Solution

    |

  8. A student is allowed to select atlest one an atmost n books from a col...

    Text Solution

    |

  9. In a steamer there are stalls for 12 animals and there are cows, horse...

    Text Solution

    |

  10. The number of different numbers that can be formed by using all the di...

    Text Solution

    |

  11. Number of ways in which RS. 18 can be distributed amongst four persons...

    Text Solution

    |

  12. A box contains 2 white balls, 3 black balls & 4 red balls. In how many...

    Text Solution

    |

  13. The number of ways in which four letters can be selected from the word...

    Text Solution

    |

  14. find the number of arrangements which can be made out of the letters o...

    Text Solution

    |

  15. The number of ways in which seven persons can be arranged at a round t...

    Text Solution

    |

  16. The total number of ways in which 4 boys and 4 girls can form a line, ...

    Text Solution

    |

  17. How many different words can be formed by jumbling the letters in the ...

    Text Solution

    |

  18. A code word consists of three letters of the English alphabet followed...

    Text Solution

    |

  19. Find the number of words formed by permuting all the letters of the ...

    Text Solution

    |

  20. A father with 8 children takes 3 at a time to the Zoological Gardens, ...

    Text Solution

    |