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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 an 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 (sin alpha + cos alpha) = a`

D

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

Text Solution

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The correct Answer is:
D
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