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If xcos y+ycos x=5. Then


Options:
A .   at x = 0, y = 0, y’ = 0
B .   at x = 0, y = 1, y’ = 0
C .   at x = y = 1, y’ = – 1
D .   at x = 1, y = 0, y’ = 1
Answer: Option C
:
C
xcos y+ycos x=5
ecos y logex+ecos x logey=5
ecos y loge x{cosyxloge x(sin y)dydx}+ecosx logey{cos xydydxsin x logey}=0
Putx=y=1, (cos 10)+(cos 1dydx0)=0
dydx=1
or y=1

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