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

Question

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

Askiitians Expert Gaurav Aggarwal - IIT Delhi · Answer

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.

Please feel free to post as many doubts on our discussion forum as you can. If you find any question
Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We
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All the best bharadwaj !!!

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Askiitians Experts

Gaurav Aggarwal

Sarthak Agrawal · Answer

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

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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

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

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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

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

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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