Statement I: The equation ( ^ -1 x )^3 + ( ^ -1 x )^3 - a ^3 = 0 has a solution for all a 1 32 . Statement...

Question

Statement I: The equation ( ^ -1 x )^3 + ( ^ -1 x )^3 - a ^3 = 0 has a solution for all a 1 32 . Statement II: For any x R, ^ -1 x + ^ -1 x = 2 and 0 ( ^ -1 x - 4 )^2 9 ^2 16 .

Accepted Answer

(1)

JEE Main 2014 Mathematics question

Solution

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