Q.

If 0<x,y<2π , the number of solutions of the system of equations sinx siny=3/4  and cosx cosy=1/4 is 

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a

2

b

1

c

infinite 

d

0

answer is C.

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Detailed Solution

cos(xy)=1  xy=0   (Note  Note xy2π)

 x=y

cos(x+y)=1/2x+y=120   or

240x=y=60

or x=y=120 

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