If one side of a rhombus has endpoints (4, 5) and (1,1), then the maximum area of the rhombus is

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50 sq. units

25 sq. units

30 sq. units

20 sq. units

answer is B.

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Detailed Solution

From the figure,Area of rhombus=2×( Area of ΔABD)=2×12×5×5sin⁡θ=25sin⁡θHence, the maximum area is 25 (when sin⁡θ=1)

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