Area of the parallelogram whose sides are $x\cos \alpha + y\sin \alpha = p$ $x\cos \alpha + y\sin \alpha = q,\,\,$ $x\cos \beta + y\sin \beta = r$ and $x\cos \beta + y\sin \beta = s$ is
Area of the parallelogram whose sides are $x\cos \alpha + y\sin \alpha = p$ $x\cos \alpha + y\sin \alpha = q,\,\,$ $x\cos \beta + y\sin \beta = r$ and $x\cos \beta + y\sin \beta = s$ is
- A
$ \pm (p - q)(r - s)\,{\rm{cosec}}(\alpha - \beta )$
- B
$(p + q)(r - s)\,{\rm{cosec }}(\alpha + \beta )$
- C
$(p + q)(r + s)\,{\rm{cosec }}(\alpha - \beta )$
- D
None of these
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