The range of fx=sin-1x2+1x2+2 is

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0, π2

0, π6

π6, π2

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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