SaraNextGen.Com

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



Question ID - 55946 | SaraNextGen Top Answer

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
Answer Key / Explanation : (b) -

(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