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A rectangle is inscribed in a semicircle...

A rectangle is inscribed in a semicircle of radius 1 unit. If its two vertices lie on the diameter, for largest size, then its dimensions are

A

Length `=sqrt(2)`, breadth `=(1)/(sqrt(2))`

B

Length `=sqrt(3)`, breadth `=(1)/(2)`

C

Length `=(2sqrt(3))/(sqrt(2))`, breadth `=(1)/(3)`

D

Length `=(1)/(sqrt(2))`, breadth `=sqrt(2)`

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The correct Answer is:
A
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