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 |
(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