1 Given a semicircle of
radius 1, let a be the side of an equilateral triangle which is inscribed in
the semicircle with its vertices on the boundary of the semicircle ( boundary
includes the bounding diameter also). Then the set of possible values of a is
2.
A ray of light originating at the vertex A of
the square ABCD passes through the vertex B after getting reflected by BC, CD
and DA in that order. If x is the angle of the initial position of the
ray with AB then sin x =
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