CBSE Class 11-science Answered
If 8 parallel lines in a plane are intersected by a family of 10 parallel lines. Find the number of parallelograms formed?
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
A parallelogram is formed by choosing two straight lines 2 lines from the set of 8 lines and 2 lines from the set of 10 parallel lines.
Two parallel lines can be chosen in
ways from the set of 8 parallel lines and 2 parallel lines from the set of 10 parallel lines can be chosen in
ways.
![](https://images.topperlearning.com/topper/questions/9634_image010.gif)
![](https://images.topperlearning.com/topper/questions/9634_image011.gif)
Hence, the number of parallelogram formed = ![](https://images.topperlearning.com/topper/questions/9634_image012.gif)
![](https://images.topperlearning.com/topper/questions/9634_image012.gif)
Answered by | 04 Jun, 2014, 15:23: PM
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