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Question

The number of solutions of the equation 1+x2+2xsin(cos1y)=0 is

A
1
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B
2
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C
3
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D
4
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Solution

The correct option is D 1
1+x2+2xsincos1y=0
1+x2+2x1y2=0
x2+2x1y2+1=0
x2+2x1y2+1y2=y2
(x+1y2)=y2y20
x+1y2=0 and y=0(x+1y2)20
y=0,x=1 only one solution
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