1.

The equation of the curve passing through the point \[\left( 0,\frac{\pi }{4} \right)\] whose differential equation is\[sin\text{ }x\text{ }cos\text{ }y\text{ }dx+cos\text{ }x\text{ }sin\text{ }y\text{ }dy=0\], is

A. \[sec\,\,x\,\,sec\,\,y=\sqrt{2}\]
B. \[cos\,\,x\,\,cos\,\,y=\sqrt{2}\]
C. \[\sec \,\,x=\sqrt{2}\,\,\cos \,\,y\]
D. \[cos\,\,y=\sqrt{2}\,\,\sec \,\,y\]
Answer» B. \[cos\,\,x\,\,cos\,\,y=\sqrt{2}\]


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