Analytical Geometry> Regular Hexagon...

24. 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 A0 A1 A0 and A0 A4 is :
(A) 3/4
(B) 3√3
(C) 3
(D) (3√3)/2

Bharadwaj Vemparala , 15 Years ago

Grade 11

2 Answers

Askiitians Expert Gaurav Aggarwal - IIT Delhi

Last Activity: 15 Years ago

Dear bharadwaj,

The question that you have posted is not clear. I think there's something missing. The meaning of the line segment A_0A1A₀ is not clear.

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All the best bharadwaj !!!

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Askiitians Experts

Gaurav Aggarwal

Sarthak Agrawal

Last Activity: 9 Years ago

We will try to find the coordinates of each point,as this is regular hexagon the points will be like (1,0),(1/2,root(3)/2),(-1/2,root(3)/2),(-1,0)(-1/2,-root(3)/2),(1/2,-root(3)/2), in anti-clockwise direction and you can find the distance using distance formula .So then the product of the
lengths of the line segments A0 A1, A0 A2 & A0 A4 is : 3