[{"question":"Parabola m\u00e1 vrchol v za\u010diatku, os m\u00e1 v osi x a dot\u00fdka sa priamky 3x - 2y + 8 = 0. Ak\u00e1 je jej rovnica?","answers":["y2<\/sup> -24x = 0","y2<\/sup> -2x = 0","y2<\/sup> -241x = 0","y -24x = 0"],"correct":"y2<\/sup> -24x = 0","order":"1"},{"question":"Parabola obsahuje body [0,0], [12,-6], [9\/2,9]. Jej os je rovnobe\u017en\u00e1 s osou x. Ak\u00e1 je jej rovnica?","answers":["(y - 3)2<\/sup> = (x + 3\/2)","(y - 3)2<\/sup> = 6*x","(y - 3)2<\/sup> = 6*(x + 3\/2)","y2<\/sup> = 6*(x + 3\/2)"],"correct":"(y - 3)2<\/sup> = 6*(x + 3\/2)","order":"2"},{"question":"Parabola obsahuje body [0,6], [3,3], [5,4]. Jej os je rovnobe\u017en\u00e1 s osou y. Ak\u00e1 je jej rovnica?","answers":["x2<\/sup> - 19x - 10y + 60 = 0","3x2<\/sup> - 19x - 10y + 60 = 0","19x - 10y + 60 = 0","3x2<\/sup> - 19x - 10y = 0"],"correct":"3x2<\/sup> - 19x - 10y + 60 = 0","order":"3"},{"question":"N\u00e1jdite rovnicu doty\u010dnice paraboly y2<\/sup> = 9x, ktor\u00e1 je rovnobe\u017en\u00e1 s priamkou 5x - 3y - 2 = 0","answers":["3x - 2y + 11 = 0","y2<\/sup> = 6*(x + 3\/2)","19x - 10y + 60 = 0","100x - 60y + 81 = 0"],"correct":"100x - 60y + 81 = 0","order":"4"},{"question":"N\u00e1jdite rovnicu doty\u010dnice paraboly y2<\/sup> - 6x - 6y + 3 = 0, ktor\u00e1 je rovnobe\u017en\u00e1 s priamkou 3x - 2y + 7 = 0","answers":["y2<\/sup> = 6*(x + 3\/2)","100x - 60y + 81 = 0","19x - 10y + 60 = 0","3x - 2y + 11 = 0"],"correct":"3x - 2y + 11 = 0","order":"5"},{"question":"Ur\u010dte uhol kriviek y2<\/sup> = 4x a x2<\/sup> + y2<\/sup> = 12","answers":["70\u00b0","80\u00b0","90\u00b0","100\u00b0"],"correct":"70\u00b0","order":"6"},{"question":"Ur\u010dte uhol kriviek y2<\/sup> = 9x a x2<\/sup> + y2<\/sup> + 8x - 84 = 0","answers":["80\u00b0","90\u00b0","100\u00b0","110\u00b0"],"correct":"90\u00b0","order":"7"},{"question":"M\u00e1te parabolu P : y2<\/sup> = 2px a priamku p: y = kx + q. Ak\u00fd je vzorec na ur\u010denie vz\u00e1jomnej polohy priamky a paraboly?","answers":["D = - 2*k*q","D = 2*k*q","D = p - 2*k*q","D = p + 2*k*q"],"correct":"D = p - 2*k*q","order":"8"},{"question":"Ak\u00fd mus\u00ed by\u0165 diskriminat z predch\u00e1dzaj\u00faceho pr\u00edkladu, aby priamka p bola doty\u010dnicou paraboly P?","answers":["D < 0","D > 0","D = 0","D = 1"],"correct":"D = 0","order":"9"},{"question":"Parabola m\u00e1 rovnicu y2<\/sup> - 24x = 0. Priamka m\u00e1 rovnicu 3x - 2y + 7 = 0. V akej polohe je priamka a parabola?","answers":["doty\u010dnica","se\u010dnica","nese\u010dnica","kolmica"],"correct":"se\u010dnica","order":"10"}]