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

A square of side a lies above the x-axis and has one vertex at the origin. The side passing through the origin makes and angle `alpha` (`0 lt alpha lt (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(sin alpha-cos alpha)=a`

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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