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Question

The number of real solutions of tan1x(x+1)+sin1x2+x+1=π2 is equal to :

A
1
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B
2
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C
3
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D
None
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Solution

The correct option is B 2
In eqn. tan1x2+x+sin1x2+x+1=π2
We must have x2+x0 and 0x2+x+11
x2+x0 and x2+x0
x=0 and x=1 are the only point in the domain of the equation.
For x=0,L.H.S.=tan10+sin11=π2
and for x=1,L.H.S.=tan10+sin11=π2
Hence there are only two solutions x=0 and x=1

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