Let `f(x)=a x^2+b x+a ,b ,c in Rdot` If `f(x)` takes real values for real values of `x` and non-real values for non-real values of `x` , then `a=0` b. `b=0` c. `c=0` d. nothing can be said about `a ,b ,cdot`

Let f(x)=a x^2+bx +c a ,b ,c in R . If f(x) takes real values for real values of x and non-real values for non-real values of x , then (a) a=0 (b) b=0 (c) c=0 (d) nothing can be said about a ,b ,c .

Let f(x)=a x^2+bx +c a ,b ,c in R . If f(x) takes real values for real values of x and non-real values for non-real values of x , then (a) a=0 (b) b=0 (c) c=0 (d) nothing can be said about a ,b ,c .

Let f(x)=ax^(2)+bx+a,b,c in R. If f(x) takes real values for real values of x and non- real values for non-real values of x ,then a=0 b.b=0 c.c=0 d.nothing can be said about a,b,c.

Let f(x)=a+b|x|+c|x|^(2) , where a,b,c are real constants. The, f'(0) exists if

Let f(x)=a+b|x|+c|x|^(2) , where a,b,c are real constants. The, f'(0) exists if

If x is real then (x^(2)-x+c)/(x^(2)+x+2c) can take all real values if

For real x, the function (x-a)(x-b)/(x-c) will assume all real values provided

For real x, the function (x-a)(x-b)/(x-c) will assume all real values provided

Let (f(x+y)-f(x))/2=(f(y)-a)/2+x y for all real x and ydot If f(x) is differentiable and f^(prime)(0) exists for all real permissible value of a and is equal to sqrt(5a-1-a^2)dot Then a) f(x) is positive for all real x b) f(x) is negative for all real x c) f(x)=0 has real roots d) Nothing can be said about the sign of f(x)