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If the domain of f (x) =1/picos ^(-1)[lo...

If the domain of `f (x) =1/picos ^(-1)[log _(3) ((x^(3))/(3))]` where, `x gt 0` is [a,b] and the range of `f (x)` is [c,d], then :

A

a,b are the roots of the equation `x ^(4) -3x ^(4) -3xc ^(3) -x+3 =0`

B

a,b are the roots of the equatin `x ^(4) -x ^(3) +x^(2)-2x+1 =0`

C

`a ^(3) +d ^(3) =1`

D

`a ^(2) +b^(2) +c^(2)=11`

Text Solution

Verified by Experts

The correct Answer is:
A, D
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