If range of `y=x/(1+x^2),AAxepsilonR` is equal to (A) `[-1,1]` (B) `[-1/2, 1/2]` (C) `R-[-1/2,1/2]` (D) `R-[-1,1]`

If range of y=(x)/(1+x^(2)),AA x varepsilon R is equal to (A)[-1,1](B)[-(1)/(2),(1)/(2)](C)R-[-(1)/(2),(1)/(2)] (D) R-[-1,1]

Let f: R to R be defined by f(x)=(x)/(1+x^(2)), x in R. Then, the range of f is (A) [-(1)/(2),(1)/(2)] (B) (-1,1)-{0} (C) R-[-(1)/(2),(1)/(2)] (D) R-[-1,1]

Let f: R to R be defined by f(x)=(x)/(1+x^(2)), x in R. Then, the range of f is (A) [-(1)/(2),(1)/(2)] (B) (-1,1)-{0} (C) R-[-(1)/(2),(1)/(2)] (D) R-[-1,1]

If the function f: R -{1,-1} to A definded by f(x)=(x^(2))/(1-x^(2)) , is surjective, then A is equal to (A) R-{-1} (B) [0,oo) (C) R-[-1,0) (D) R-(-1,0)

If the function f: R -{1,-1} to A definded by f(x)=(x^(2))/(1-x^(2)) , is surjective, then A is equal to (A) R-{-1} (B) [0,oo) (C) R-[-1,0) (D) R-(-1,0)

The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (a) (1,oo) (b) (1,(11)/7) (c) (1,7/3) (d) (1,7/5)

If y = tan^(-1) ((2x-1)/(1+ x- x^2) ) , then (dy)/(dx) at x = 1 is equal to a) 1/2 b) 2/3 c) 1 d) 3/2

If the function f(x)=2tanx+(2a+1)(log)_e|secx|+(a-2)x is increasing on R , then (a) a in (1//2,\ oo) (b) a in (-1//2,\ 1//2) (c) a=1//2 (d) a in R

If (1-i)x+(1+i)y=1-3i , then (x,y) is equal to (a) (2,-1) (b) (-2,1) (c) (-2,-1) (d) (2,1)

If (1-i)x+(1+i)y=1-3i , then (x,y) is equal to (a) (2,-1) (b) (-2,1) (c) (-2,-1) (d) (2,1)