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 $\alpha ,(0 < \alpha < \frac{\pi }{4})$ with the positive direction of $x$-axis. The equation of its diagonal not passing through the origin is
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 $\alpha ,(0 < \alpha < \frac{\pi }{4})$ with the positive direction of $x$-axis. The equation of its diagonal not passing through the origin is
- [AIEEE 2003]
- 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
$y(\cos \alpha + \sin \alpha ) + x(\sin \alpha - \cos \alpha ) = a$
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