Straight LineHard
Question
Let A0, A1, A2, A3, A4, A5, be a regular hexagon inscribed in a circle of unit radius. Then, the product of the lengths of the line segments A0A1, A2A0, and A0A4, is
Options
A.
B.3√3
C.3
D.
Solution
Now,(A0A1)2 = 
⇒ A0A1 = 1
(A0A2)2
⇒ A0A22 = √3
and (A0A2)2
⇒ A0A42 = √3
Thus, (A0A1)(A0A2)(A0A4) = 3
⇒ A0A1 = 1
(A0A2)2
⇒ A0A22 = √3
and (A0A2)2
⇒ A0A42 = √3
Thus, (A0A1)(A0A2)(A0A4) = 3
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