Find range

If sec^{-1}(x-3)+tan^{-1}(\sqrt{9y^{2}-1})+sin^{-1}(x^2+y^2) =\lambda , has no solution then find the exhaustive range of \lambda.

5 Answers

the arcsec and arcsin term should give you some clue.
the answer is 'R' (the real number set)

Please Post the solution. I don't have the fiitjee solution for this! I tried some logic. But I need a complete one

x>4 & x<-2 , |y| >1/3 x² + y² is never between 1 & -1 , so answer R

262

Aditya Bhutra ·2011-11-21 05:11:26

@vikrant - i think x>4 and x<2 , but then x²+y² <1 is possible.

oh ya.
for instance (x,y) = (0, 1/2) has solution.

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