Q.

The range of fx=sin-1x2+1x2+2 is

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a

0, π2

b

0, π6

c

π6, π2

d

none of these

answer is C.

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Detailed Solution

Here,  x2+1x2+2=1-1x2+2  Now,  2≤x2+2<∞   for  all  x∈Ror      12≥1x2+2>0or    -12≤-1x2+2<0or     12≤1-1x2+2<1or    π6≤sin-11-1x2+2<π2
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