[{"question":"M\u00e1te kru\u017enicu op\u00edsan\u00fa rovnicou 4x2<\/sup> + 4y2<\/sup> -8x +48y +99 = 0. Ak\u00e9 s\u00faradnice m\u00e1 jej stred?","answers":["1, -6","1, 6","- 1, 6","(-1, -6)"],"correct":"1, -6","order":"1"},{"question":"Ak\u00fd je polomer kru\u017enice z predch\u00e1dzaj\u00faceho pr\u00edkladu?","answers":["1.5","2.5","3.5","4.5"],"correct":"3.5","order":"2"},{"question":"Rovnica kru\u017enice, ktor\u00e1 je ur\u010den\u00e1 bodmi [7, 1], [3, 9], [-2,4] je \u2026?","answers":["x2<\/sup> + y2<\/sup> + 6x - 8y","x2<\/sup> - y2<\/sup> - 6x - 8y","x2<\/sup> + y2<\/sup> - 6x - 8y","x2<\/sup> + y2<\/sup> + 6x + 8y"],"correct":"x2<\/sup> + y2<\/sup> - 6x - 8y","order":"3"},{"question":"Rovnica kru\u017enice, ktor\u00e1 prech\u00e1dza bodmi [5, 3], [6, 2] a m\u00e1 stred na priamke 3x - 4y - 3 = 0 je...?","answers":["x2<\/sup> - y2<\/sup> - 18x -12y - 92 =0","x2<\/sup> + y2<\/sup> - 18x -12y +92 =0","x2<\/sup> + y2<\/sup> - 18x -12y - 92 =0","x2<\/sup> - y2<\/sup> - 18x -12y +92 =0"],"correct":"x2<\/sup> + y2<\/sup> - 18x -12y +92 =0","order":"4"},{"question":"V akej polohe je priamka dan\u00e1 bodmi [1, 0], [-3, -4] a kru\u017enica s rovnicou x2<\/sup> + y2<\/sup> + 6x +6y - 7 = 0","answers":["se\u010dnica","doty\u010dnica","nese\u010dnica","ani jedna z mo\u017enost\u00ed"],"correct":"se\u010dnica","order":"5"},{"question":"V akej polohe je priamka dan\u00e1 bodmi [5, -1], [-3, -7] a kru\u017enica s rovnicou x2<\/sup> + y2<\/sup> - 4x - 6y - 12 = 0","answers":["se\u010dnica","doty\u010dnica","nese\u010dnica","ani jedna z mo\u017enost\u00ed"],"correct":"doty\u010dnica","order":"6"},{"question":"Rovnica kru\u017enice, ktor\u00e1 m\u00e1 sred [6, 7] a dot\u00fdka sa priamky 5x - 12y - 24 = 0 je...?","answers":["x2<\/sup> - y2<\/sup> - 12x - 14y + 49 = 0","x2<\/sup> + y2<\/sup> - 12x - 14y - 49 = 0","x2<\/sup> + y2<\/sup> + 12x - 14y + 49 = 0","x2<\/sup> + y2<\/sup> - 12x - 14y + 49 = 0"],"correct":"x2<\/sup> + y2<\/sup> - 12x - 14y + 49 = 0","order":"7"},{"question":"Rovnica kru\u017enice, ktor\u00e1 m\u00e1 sred [1, 2] a dot\u00fdka sa priamky 8x + 15y + 13 = 0 je...?","answers":["x2<\/sup> + y2<\/sup> + 2x - 4y - 4 = 0","x2<\/sup> + y2<\/sup> - 2x - 4y + 4 = 0","x2<\/sup> - y2<\/sup> - 2x - 4y - 4 = 0","x2<\/sup> + y2<\/sup> - 2x - 4y - 4 = 0"],"correct":"x2<\/sup> + y2<\/sup> - 2x - 4y - 4 = 0","order":"8"},{"question":"Ak\u00e1 je jedna z dvoch rovn\u00edc kru\u017enice, ktor\u00e1 prech\u00e1dza bodmi [5, 2], [7, 4] a dot\u00fdka sa osi x?","answers":["x2<\/sup> + y2<\/sup> + 2x - 20y + 1 = 0","x2<\/sup> + y2<\/sup> + 2x - 20y + 12 = 0","x2<\/sup> + y2<\/sup> + 2x - 2y + 1 = 0","x2<\/sup> + y2<\/sup> + 2x - 20y = 0"],"correct":"x2<\/sup> + y2<\/sup> + 2x - 20y + 1 = 0","order":"9"},{"question":"Ak\u00fd je uhol kru\u017en\u00edc s rovnicami x2<\/sup> + y2<\/sup> = 16 a (x-5)2<\/sup> + y2<\/sup> = 9?","answers":["0\u00b0","90\u00b0","180\u00b0","360\u00b0"],"correct":"90\u00b0","order":"10"}]