There are 5 parallel lines on the plane. On the same plane, there are \(n\) other lines that are perpendicular to the 5 parallel lines. If the number of distinct rectangles formed by these lines is…
Question and options
There are 5 parallel lines on the plane. On the same plane, there are other lines that are perpendicular to the 5 parallel lines. If the number of distinct rectangles formed by these lines is 360, what is the value of ?
- 10
- 6
- 8
- 9
Answer and explanation
Correct answer: D - 9
There are perpendicular lines. A rectangle is determined by two lines from each family, so , or . The factor equals .
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IPMAT Indore
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