Let f (x) =ax ^(2) + bx+ c,a gt = and f ...

Let `f (x) =ax ^(2) + bx+ c,a gt = and f (2-x) =f (2+x) AA x in R and f (x) =0` has 2 distinct real roots, then which of the following is true ?

Atleast one roots must be positive

`f (2) lt f (0) gt f (1)`

Vertex of graph of `y =f (x)` is negative

Vertex of graph of `y =f (x)` lies in 3rd quadrat

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