The range of `f(x)=sin^(-1)(sqrt(x^2+x+1))i s` `(0,pi/2)` (b) `(0,pi/3)` (c) `(pi/3,pi/2)` (d) `[pi/6,pi/3]`

The range of f(x)=sin^(-1)(sqrt(x^2+x+1)) i s (a) (0,pi/2) (b) (0,pi/3) (c) [pi/3,pi/2] (d) [pi/6,pi/3]

The range of f(x)=sin^(-1)(sqrt(x^2+x+1)) i s (a) (0,pi/2) (b) (0,pi/3) (c) [pi/3,pi/2] (d) [pi/6,pi/3]

The range of f(x)=sin^(-1)(sqrt(x^(2)+x+1)) is (0,(pi)/(2))(b)(0,(pi)/(3))(c)((pi)/(3),(pi)/(2)) (d) [(pi)/(6),(pi)/(3)]

The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is [0,pi/2] (b) (0,pi/6) (c) [pi/6,pi/2] (d) none of these

The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is (a)[0,pi/2] (b) (0,pi/6) (c) [pi/6,pi/2] (d) none of these

The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is (a) [0,pi/2] (b) (0,pi/6) (c) [pi/6,pi/2] (d) none of these

The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is (a) [0,pi/2] (b) (0,pi/6) (c) [pi/6,pi/2] (d) none of these

The range of f(x)=sin^(-1)((x^(2)+1)/(x^(2)+2)) is [0,(pi)/(2)] (b) (0,(pi)/(6))( c) [(pi)/(6),(pi)/(2)](d) none of these

The least positive solution of cot(pi/(3sqrt3) sin2x)=sqrt3 lie (a) sin(0,pi/6) (b) (pi/9,pi/6) (c) (pi/12,pi/9) (d) (pi/3,pi/2)

Range of function f(x)=|6sin^(-1)x-pi|+|6cos^(-1)x-pi| is (a) [0,9pi] (b) [0,3pi] (c) [pi,3pi] (d) [ pi,9pi]