Home
Class 12
MATHS
A parallelogram is cut by two sets of m ...

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

A

`m^2/4`

B

`((m+1)^2)/4`

C

`((m+2)^2)/4`

D

`((m+1)^2+(m+2)^2)/4`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|6 Videos
  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|6 Videos
  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|6 Videos
  • PARABOLA

    MODERN PUBLICATION|Exercise RECENT COMPETITION QUESTION (QUESTION FROM KARNATAKA CET & COMED)|9 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos

Similar Questions

Explore conceptually related problems

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

The area of the parallelogram with vec a and vec b as adjacent sides is 20 sq. units. Then the areaof the parallelogram having 7 vec a + 5 vec b and 8 vec a + 11 vec b as adjacent sides is

If the sides of a parallelogram touch a circle, prove that parallelogram is a rhombus.

If a straight line divdes two sides of a triangle proportionally, then the straight line a parallel to third sides, (Converse of Thales theorem). Prove.

Using Theorem , prove that the line joining the mid-point of any two sides of a triangle is parallel to the third side. ( Recall that you have done it is class IX) .

State the negations of : (ii) Line I is parallel to line m.

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:

If the area of the parallelogram with vec(a) and vec(b) as two adjacent sides is 15 sq. units, then the area of the parallelogram having 3vec(a)+2vec(b) and vec(a)+3vec(b) as two adjacent sides in sq. units is

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 . Then the number of fresh lines thus obtained is :

If P is the set of all parallelograms and T is the set of all trapeziums then P nn T is

MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS -Multiple Choice Questions - LEVEL - II
  1. A five digit number divisible by 3 is to be formed using the numbers 0...

    Text Solution

    |

  2. An n - digit number is a positive number with exactly n digits. Nine h...

    Text Solution

    |

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

    Text Solution

    |

  4. Number of different arrangements which can be made out of the letters...

    Text Solution

    |

  5. The maximum number of points into which 4 circles and 4 st . Lines int...

    Text Solution

    |

  6. A box contains two white balls, three black balls and four red balls....

    Text Solution

    |

  7. There are n books having p copies of each . The number of ways in whi...

    Text Solution

    |

  8. Ten different letters of an alphabet are given . Words with five lette...

    Text Solution

    |

  9. m parallel lines in a plane are intersected by a family of n parallel ...

    Text Solution

    |

  10. A student is allowed to select at most n books from a collection of (2...

    Text Solution

    |

  11. The sides AB, BC BC, CA of triangles ABC have 3 4 and 5 interior poin...

    Text Solution

    |

  12. How many number between 5000 and 10,000 can be formed using the digits...

    Text Solution

    |

  13. If the letters of the word '' RACI II T '' are arranged in all possibl...

    Text Solution

    |

  14. Let A be the set of 4 - digit numbers abcd, where a gt b gt c gt d , ...

    Text Solution

    |

  15. Four couples (husband and wife ) decide to form a committee of four me...

    Text Solution

    |

  16. Number of odd proper divisors of 3^(p).6^(m).21^(n) is :

    Text Solution

    |

  17. Sum of divisors of 2^(5).3^(7).5^(3).7^(2) is :

    Text Solution

    |

  18. Eight chairs are numbered 1 to 8.Two women and three men wish to occup...

    Text Solution

    |

  19. There are four balls of different colours and four boxes of colours sa...

    Text Solution

    |

  20. In a city no two person have identical set of teeth and there is no pe...

    Text Solution

    |