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Whether live cell membranes show miscibility phase transitions (MPTs), and ifso, how they fluctuate near the transitions remain outstanding unresolvedissues in physics and biology alike.  Motivated by these questions we construct a generic hydrodynamic theory forlipid membranes {{that are active, due for instance, to the molecular motors inthe surrounding cytoskeleton, or active protein components in the membraneitself}}. We use this to uncover a direct correspondence between membranefluctuations and MPTs. Several testable predictions are made: (i) generic {\emactive stiffening} with orientational long range order (flat membrane) or {\emsoftening} with crumpling of the membrane, controlled by the {\em activetension} and (ii) for mixed lipid membranes, capturing the nature of putativeMPTs by measuring the membrane conformation fluctuations. Possibilities of bothfirst and second order MPTs in mixed active membranes are argued for. Nearsecond order MPTs, active stiffening (softening) manifests as a {\emsuper-stiff (super-soft) membrane}. Our predictions are testable in a varietyof {\em in-vitro} systems, e.g., live cytoskeletal extracts deposited onliposomes and lipid membranes containing active proteins embedded in a passivefluid.

Active processes make mixed lipid membranes either flat or crumpled