[{"question":"Druh\u00e1 s\u00faradnica bodu [-1\/2, ?] le\u017eiaceho na grafe funkcie y = arctg2x","answers":["je ur\u010den\u00e1 hodnotou tg2.(-1\/2)","je ur\u010den\u00e1 hodnotou arcsin2x(-1\/2)","je ur\u010den\u00e1 hodnotou sin2.(-1\/2)","je u\u010den\u00e1 hodnotou arcttg2.(-1\/2)"],"correct":"je u\u010den\u00e1 hodnotou arcttg2.(-1\/2)","order":"1"},{"question":"N\u00e1jdi rovnicu doty\u010dnice ku grafu funkcie y = arctg2x v bode [-1\/2, ?]:","answers":["y = x + (2-pi)\/4","y = x - (2-pi)\/4","y = -x + (2-pi)\/4","y = x + (2+pi)\/4"],"correct":"y = x + (2-pi)\/4","order":"2"},{"question":"N\u00e1jdi rovnicu norm\u00e1ly ku grafu funkcie y = arctg2x v bode [-1\/2, ?]:","answers":["y = x + (2-pi)\/4","y = x - (2-pi)\/4","y = -x - (2+pi)\/4","y = x + (2+pi)\/4"],"correct":"y = -x - (2+pi)\/4","order":"3"},{"question":"Ur\u010d rovnicu doty\u010dnice ku grafu funkcie f(x) = lnx, ak je doty\u010dnica rovnobe\u017en\u00e1 s priamkou y = x+1:","answers":["x-y+1 =0","x+y-1=0","x-y-1=0","x+y+1=0"],"correct":"x-y-1=0","order":"4"},{"question":"Ur\u010d rovnicu norm\u00e1ly ku grafu funkcie f(x) = lnx, ak je doty\u010dnica rovnobe\u017en\u00e1 s priamkou y = x+1:","answers":["x-y+1 =0","x+y-1=0","x-y-1=0","x+y+1=0"],"correct":"x+y-1=0","order":"5"},{"question":"N\u00e1jdi rovnicu doty\u010dnice funkcie y = (2x-4)\/(2x-3) v bode [2,y0]:","answers":["x+y-4=0","x-y-4=0","x-y-4=0","x+y+4=0"],"correct":"x+y-4=0","order":"6"},{"question":"Smernica funkcie y =(-16\/3x3 )+x je rovn\u00e1 2. Rovnica doty\u010dnice je:","answers":["len 6x-3y-8 =0","6x-3y+8=0","6x-3y-8=0 a 6x-3y+8=0","6x+3y-8=0 a 6x+3y+8=0"],"correct":"6x-3y-8=0 a 6x-3y+8=0","order":"7"},{"question":"N\u00e1jdi rovnicu doty\u010dnice ku krivke x2 + y2 + 2x - 17 = 0 v bode [2,-3].","answers":["x-y-5=0","x+y-5=0","x+y+5=0","x-y+5=0"],"correct":"x-y-5=0","order":"8"},{"question":"Ur\u010d okam\u017eit\u00e9 zr\u00fdchlenie pohybu v \u010dase t, ak dr\u00e1ha pohybu je dan\u00e1 vz\u0165ahom s = 5 + v0t + 1\/2gt2 , v0 = const.","answers":["a(t)=v\u00b4(t) = (v0 - gt)\u00b4 = g","a(t)=v\u00b4(t) = (v0 + gt)\u00b4 = g","a(t)=v\u00b4(t) = (v0 + gt2)\u00b4 = g","a(t)=v\u00b4(t) = (v02 + gt)\u00b4 = g"],"correct":"a(t)=v\u00b4(t) = (v0 + gt)\u00b4 = g","order":"9"},{"question":"Ur\u010d doty\u010dnicu ku grafu funkcie f(x) = x2 - x + 3, v bode [1,3].","answers":["y = x+2-1","y = x-2+1","y = x-2","y = x+2"],"correct":"y = x+2","order":"10"}]