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A square of side 4 a lies above the x -...

A square of side `4 a` lies above the `x` -axis and has one vertex at the origin. The side passing through the origin makes are angle alpha (0 < alpha < (pi)/(4))' with the positive direction of `x` -axis. The equation of its diagonal not passing through the origin is

A

`y(cos alpha+sin alpha)+x(cos alpha-sin alpha)=4a`

B

`y(cos alpha-sin alpha)-x cdot(sin alpha-cos alpha)=4a`

C

`y(cos alpha+sin alpha)+x(sin alpha-cos alpha)=4a`

D

`y(cos alpha+sin alpha)+x^(-)(sin alpha+cos alpha)=4a`

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The correct Answer is:
A
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