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If one side of a rhombus has endpoints (...

If one side of a rhombus has endpoints (4, 5) and (1, 1), then the maximum area of the rhombus is 50 sq. units (b) 25 sq. units 30 sq. units (d) 20 sq. units

A

50 sq.units

B

25 sq.units

C

30 sq.units

D

20 sq.units

Text Solution

Verified by Experts

The correct Answer is:
B
From the figure Area of a rhombus `=2xx("Area of"Delta ABD)`
`=2xx(1)/(2)xx5xx5sintheta`
`=25sintheta`
Hence,the maximum area is 25 (when `sintheta=1`).
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