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A square of side a lies above the X- axi...

A square of side `a` lies above the X- axis and has one vertex at the origin . The side passing through the origin makes an angle `pi//6` with the positive direction of X-axis .The equation of its diagonal not passing through the origin is
`y(sqrt(3)-1)-x(1-sqrt(3))=2a`
`y(sqrt(3)+1) +x(1-sqrt(3))=2a`
`y(sqrt(3)+1)+x(1+sqrt(3)) =2a`
`y(sqrt(3)+1)+x(sqrt(3)-1)=2a`

A

`y(sqrt(3)-1)-x(1-sqrt(3))=2a`

B

`y(sqrt(3)+1) +x(1-sqrt(3))=2a`

C

`y(sqrt(3)+1)+x(1+sqrt(3)) =2a`

D

`y(sqrt(3)+1)+x(sqrt(3)-1)=2a`

Text Solution

Verified by Experts

The correct Answer is:
D
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