Home
Class 11
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 lines is:

Text Solution

AI Generated Solution

To solve the problem of finding the number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Sets of Lines**: - We have two sets of parallel lines: one set consists of 4 parallel lines, and the other set consists of 3 parallel lines. 2. **Choosing Lines to Form a Parallelogram**: ...
Promotional Banner

Topper's Solved these Questions

  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA ENGLISH|Exercise All Questions|77 Videos
  • COMPLEX NUMBERS

    RD SHARMA ENGLISH|Exercise All Questions|269 Videos

Similar Questions

Explore conceptually related problems

The number of parallelograms that can be formed form a set of four parallel lines intersecting another set of three parallel lines is 6 b. 9 c. 12 d. 18

Find the number of subsets that can be formed from the set A={4,5,6}

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

Construct an angle PQR=80^(@) . Draw a line parallel to PQ at a distance of 3 cm from it and another line parallel to QR at a distance of 3.5 cm from it. Mark the point of intersection of these parallel lines as A.

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.

Two distinct intersecting lines cannot be parallel to the same line.

State which of the following statements are true (T) or which are false (F) If two lines in the same plane do not intersect, then they must be parallel. Distance between two parallel lines is not same everywhere. If m_|_l ,\ n\ _|_\ l and m\ !=n , then m n Two non-intersecting coplanar rays are parallel. No two parallel segments intersect. Every pair of lines is a pair of coplanar lines. Two lines perpendicular to the same line are parallel. A line perpendicular to one of two parallel lines is perpendicular to the other.

Which of these pairs of lines are parallel?

Given the linear equation 2x+3y 8=0 , write another linear equation in two variables such that the geometrical representation of the pair so formed is:(i) intersecting lines (ii) parallel lines (iii) coincident lines

Given the linear equation 2x+3y-8=0 , write another linear equation in two variables such that the geometrical representation of the pair so formed is: (i) intersecting lines (ii) parallel lines (iii) coincident lines

RD SHARMA ENGLISH-COMBINATIONS-All Questions
  1. There are 3 letters and 3 directed envelopes. Write the number of ways...

    Text Solution

    |

  2. Write the maximum number of points of intersection of 8 straight lines...

    Text Solution

    |

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

    Text Solution

    |

  4. The number of ways in which 12 students can be equally divided into th...

    Text Solution

    |

  5. Write the total number of words formed by 2 vowels and 3 consonants ...

    Text Solution

    |

  6. If \ ^20 Cr=\ ^20 C(r-10) ,\ t h e n\ \ ^18 Cr is equal to 'a. 4896 ...

    Text Solution

    |

  7. If \ ^(20)Cr=\ ^(20)C(r+4),\ t h e n\ \ ^r C3 is equal to a. 54 b. 56 ...

    Text Solution

    |

  8. If \ ^(15)C(3r)=\ \ ^(15)C(r+3)\ then\ r is equal to a. 5 b. 4 c. 3 d....

    Text Solution

    |

  9. If \ ^(20)C(r+1)=\ \ ^(20)C(r-1),\ t h e n\ r is equal to a. 10 b. 11 ...

    Text Solution

    |

  10. If C(n , 12)=C(n ,8),\ t h e n\ C(22 , n) is equal to a. 132 b. 210 c....

    Text Solution

    |

  11. If \ ^m C1=\ \ ^n C2 then which is correct a. 2m=n b. 2m=n(n+1) c. 2m...

    Text Solution

    |

  12. If \ ^n C(12)=\ \ ^n C8 then = a. 20 b. 12 c. 6 d. 30

    Text Solution

    |

  13. If \ ^n Cr+\ ^n C(r+1)=\ \ ^(n+1)Cx ,\ t h e n x = a. r b. r-1 c. n d...

    Text Solution

    |

  14. If \ ^(a^2-a)C2=\ \ ^(a^2-a)C4\ t h e n \ value\ of\ a\ is\ = a. 2 b....

    Text Solution

    |

  15. \ ^5C1+\ ^5C2+\ ^5C3+\ ^5C4+\ ^5C5 is equal to a 30 b. 31 c. 32 d. 33

    Text Solution

    |

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

    Text Solution

    |

  17. There are 12 points in a plane. The number of the straight lines joini...

    Text Solution

    |

  18. There persons enter a railway compartment. If there are 5 seats vacant...

    Text Solution

    |

  19. In how many ways can a committee of 5 be made out of 6 men and 4 women...

    Text Solution

    |

  20. There are 10 points in a plane and 4 of them are collinear. The number...

    Text Solution

    |