A cytochrome P450 monooxygenase involved in the biosynthesis of adrenal corticoids. Catalyzes the hydroxylation of carbon hydrogen bond at 11-beta position of 11-deoxycortisol and 11-deoxycorticosterone/21-hydroxyprogesterone yielding cortisol or corticosterone, respectively. Mechanistically, uses molecular oxygen inserting one oxygen atom into a substrate and reducing the second into a water molecule. Two electrons are provided by NADPH via a two-protein mitochondrial transfer system comprising flavoprotein FDXR (adrenodoxin/ferredoxin reductase) and nonheme iron-sulfur protein FDX1 or FDX2 (adrenodoxin/ferredoxin). a steroid + 2 H(+) + O2 + 2 reduced [adrenodoxin] = an 11beta-hydroxysteroid + H2O + 2 oxidized [adrenodoxin] 11-deoxycortisol + 2 H(+) + O2 + 2 reduced [adrenodoxin] = cortisol + H2O + 2 oxidized [adrenodoxin] 21-hydroxyprogesterone + 2 H(+) + O2 + 2 reduced [adrenodoxin] = corticosterone + H2O + 2 oxidized [adrenodoxin] Steroid biosynthesis; glucocorticoid biosynthesis. Steroid hormone biosynthesis. Belongs to the cytochrome P450 family.