Let `f(x)` be a non-positive continuous function and `F(x)=int_(0)^(x)f(t)dt AA x ge0` and `f(x) ge cF(x)` where `c lt 0` and let `g:[0, infty) to R` be a function such that `(dg(x))/(dx) lt g(x) AA x gt 0` and `g(0)=0` The solution set of inequation `g(x)(cos^(-1)x-sin^(-1)) le0`A. `[-1,1/sqrt(2)]`B. `[1/sqrt(2),1]`C. `[0,1/sqrt(2)]`D. `[0,1/sqrt(2)]`

Let `f(x)` be a non-positive continuous function and `F(x)=int_(0)^(x)

1.	Let `f(x)` be a non-positive continuous function and `F(x)=int_(0)^(x)f(t)dt AA x ge0` and `f(x) ge cF(x)` where `c lt 0` and let `g:[0, infty) to R` be a function such that `(dg(x))/(dx) lt g(x) AA x gt 0` and `g(0)=0` The solution set of inequation `g(x)(cos^(-1)x-sin^(-1)) le0`A. `[-1,1/sqrt(2)]`B. `[1/sqrt(2),1]`C. `[0,1/sqrt(2)]`D. `[0,1/sqrt(2)]`
Answer» Correct Answer - A `g(x) (cos^(-1)x-sin^(-1)x) le0` or `(cos^(-1)x-sin^(-1)x) ge0` or `x in [-1, 1/sqrt(2)]`

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