If the non-constant function \(f(x) = \dfrac{ax^2 - bx+ c}{dx^2 + ex - c } \) is a bounded for non-zero constants \(a,b,c,d\), then which of the following are true?

**(A):** \(d\) and \(c\) have the same signs.

**(B):** \(d\) and \(c\) have opposite signs.

**(C):** \(bd + ae = 0 \).

**(D):** \(bd + ae \ne 0 \).

×

Problem Loading...

Note Loading...

Set Loading...