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Find the equation of the curve passin...

Find the equation of the curve passing through the point `(0,pi/4)` whose differential equation is `s in" "x" "cos" "y" "dx" "+" "cos" "x" "s in" "y" "dy" "=" "0` .

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 `

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The correct Answer is:
A
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