Consider a square of side length 1. Let be the set of all segments of length 1 with end points on adjacent sides of square . The midpoints of segments in enclose a region with area , the value of is |
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a) |
b) |
c) |
d) |
None of these |

Consider a square of side length 1. Let be the set of all segments of length 1 with end points on adjacent sides of square . The midpoints of segments in enclose a region with area , the value of is |
|||||||

a) |
b) |
c) |
d) |
None of these |

1 Answer

127 votes

**(b)**

Let be the midpoint of

Since we get

lies on the quarter circle of radius with centre at

Similarly can also lie on quarter circle of radius with centre at or

area

127 votes

127