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) \[y(\cos \alpha +\sin \alpha )+x(\cos \alpha -\sin \alpha )=a\]
Correct Answer: D
Solution :
Line OA makes an angle a with x-axis and OA = a, then coordinates of A are . Also, , then, OB makes an angle with x-axis, then coordinates of B are i.e., Equation of the diagonal not passing through the origin is \[\therefore \,\,y(\sin \alpha \,+\cos \alpha )\,+x\,(\cos \alpha -\sin \,\alpha )=0\]You need to login to perform this action.
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