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Question

If the range of the function
f(x)=tan1x+1+1tan1x is [a,b] then the value of (a2+b2)

A
3
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B
4
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C
5
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D
6
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Solution

The correct option is C 6
For y to the real 1tan1x1
tan1xtan1
y=1+t+1ty2=2+21t2
y2[2,4]y[2,2](a2+b2)=6

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