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

Question

Accepted Answer

$\pm (p-q)(r-s)\, 	ext{cosec}(\alpha -\beta )$

Answer

$(p+q)(r-s)\,	ext{cosec }(\alpha +\beta )$

Answer

$(p+q)(r+s)\,	ext{cosec }(\alpha -\beta )$

Answer

None of these

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Question: 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

st-line

Question: 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

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