Q3Multiple correct5 Marks15 Mar 2026Consider the two quadratic functions f(x)=x2−4x+c,g(x)=−x2+3x+c, f(x)=x^2-4x+c, \qquad g(x)=-x^2+3x+c, f(x)=x2−4x+c,g(x)=−x2+3x+c, where c∈Rc \in \mathbb{R}c∈R. Which of the following statements are true?ABoth equations have two distinct real roots iff ccc lies between 000 and 94\frac{9}{4}49.BBoth equations have two distinct real roots iff ccc lies between −4-4−4 and 94\frac{9}{4}49.CThe vertex of fff corresponds to maximum.DThe vertex of ggg corresponds to maximum.
