[{"question":"Rovinu, ktorej body pova\u017eujeme za obrazy komplexn\u00fdch \u010d\u00edsiel, vol\u00e1me","answers":["Paulova","Mayerova","Gaussova","Kartezska"],"correct":"Gaussova","order":"1"},{"question":"Gonioetrick\u00fd tvar komplexn\u00e9ho \u010d\u00edsla z \u2260 0 je jeho vyjadrenie v tvare","answers":["z = r(cos\u03c6 + isin\u03c6)","z = cos\u03c6 + isin\u03c6","z = rcos\u03c6 + isin\u03c6","cos\u03c6 + risin\u03c6"],"correct":"z = r(cos\u03c6 + isin\u03c6)","order":"2"},{"question":"Nap\u00ed\u0161 v goniometrickom tvare \u010d\u00edslo z = -1 + i\u221a3","answers":["z = (cos2\/3\u03c0 + i sin 2\/3\u03c0)","z = 2(cos2\/3\u03c0 + i sin 2\/3\u03c0)","z = 2(cos3\/2\u03c0 + i sin 3\/2\u03c0)","z = cos3\/2\u03c0 + i sin 3\/2\u03c0"],"correct":"z = 2(cos2\/3\u03c0 + i sin 2\/3\u03c0)","order":"3"},{"question":"z = 1\/2(cos7\/2\u03c0 + i sin7\/2\u03c0) vyjadri v algebraickom tvare:","answers":["2i","-2i","1\/2 i","-1\/2 i"],"correct":"-1\/2 i","order":"4"},{"question":"Vyjadri v goniometrickom tvare: -1\/\u221a2","answers":["1\/2 \u221a2(cos1\/2\u03c0 + i sin1\/2\u03c0)","1\/2 (cos\u03c0 + i sin\u03c0)","1\/2 \u221a2(cos\u03c0 + i sin\u03c0)","\u221a2(cos\u03c0 + i sin\u03c0)"],"correct":"1\/2 \u221a2(cos\u03c0 + i sin\u03c0)","order":"5"},{"question":"Vyjadri v goniometrickom tvare: -\u221a2\/2 - \u221a2\/2i","answers":["cos 5\/4\u03c0 + i sin 5\/4\u03c0","cos 4\/5\u03c0 + i sin 4\/5\u03c0","\u221a2(cos 5\/4\u03c0 + i sin 5\/4\u03c0)","cos 4\u03c0 + i sin 5\u03c0"],"correct":"cos 5\/4\u03c0 + i sin 5\/4\u03c0","order":"6"},{"question":"1\/2i v goniometrickom tvare:","answers":["3\/2(cos3\/2 \u03c0 + i sin 3\/2 \u03c0)","1\/2(cos3\/2 \u03c0 + i sin 3\/2 \u03c0)","1\/2(cos2\/3 \u03c0 + i sin 2\/3 \u03c0)","(cos3\/2 \u03c0 + i sin 3\/2 \u03c0)"],"correct":"1\/2(cos3\/2 \u03c0 + i sin 3\/2 \u03c0)","order":"7"},{"question":"-1\/i v goniometrickom tvare","answers":["cos1\/2 \u03c0 + i sin 1\/2 \u03c0","cos2 \u03c0 + i sin 2 \u03c0","1\/2(cos1\/2 \u03c0 + i sin 1\/2 \u03c0)","cos \u03c0 + i sin \u03c0"],"correct":"cos1\/2 \u03c0 + i sin 1\/2 \u03c0","order":"8"},{"question":"Vyjadri v algebraickom tvare: cos 1\/3\u03c0 + i sin 1\/3 \u03c0","answers":["-(1\/2) + 1\/2 i \u221a3","1\/2 - 1\/2 i \u221a3","1\/2 + 1\/2 i \u221a2","1\/2 + 1\/2 i \u221a3"],"correct":"1\/2 + 1\/2 i \u221a3","order":"9"},{"question":"Vyjadri v goniometrickom tvare \u010d\u00edslo (cos 2\/5 \u03c0 + i sin 2\/5 \u03c0)i","answers":["cos 9\/2 \u03c0 + i sin 9\/2 \u03c0","cos 9 \u03c0 + i sin 9 \u03c0","cos 9\/10 \u03c0 + i sin 9\/10 \u03c0","cos10\/9 \u03c0 + i sin 10\/9 \u03c0"],"correct":"cos 9\/10 \u03c0 + i sin 9\/10 \u03c0","order":"10"}]