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

\[(p+q)(r-s)\,\text{cosec }(\alpha +\beta )\]

\[\pm (p-q)(r-s)\,\text{cosec}(\alpha -\beta )\]

\[(p+q)(r+s)\,\text{cosec }(\alpha -\beta )\]

Area of the parallelogram whose sides are \[x\cos \alpha +y\sin \alpha

1.	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.	\[\pm (p-q)(r-s)\,\text{cosec}(\alpha -\beta )\]
B.	\[(p+q)(r-s)\,\text{cosec }(\alpha +\beta )\]
C.	\[(p+q)(r+s)\,\text{cosec }(\alpha -\beta )\]
D.	None of these
Answer» B. \[(p+q)(r-s)\,\text{cosec }(\alpha +\beta )\]

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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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