Q.

Area of the regular hexagon whose diagonal joins (2, 4) and (6, 7) is

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a

7538

b

7316

c

6316

d

25316

answer is A.

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Detailed Solution

We have A(2,4) and 8(6,7) as end points of diagonal of the hexagon. ∴ AB=5So, length of the line segment joining centre of the hexagon and one of the vertices is 52∴ Area of hexagon =6× Area of equilateral triangle having  side length 32=6×34×254=7538
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Area of the regular hexagon whose diagonal joins (2, 4) and (6, 7) is