Priamka v rovine - príklady
[{"question":"M\u00e1te priamku v tvare 3x + by - 1 = 0. Ur\u010dte bod b tak, aby priamka prech\u00e1dzala bodom A[2,2]","answers":["-2.5","2.5","0.4","-0.4"],"correct":"-2.5","order":"1"},{"question":"Ur\u010dte bod b z predch\u00e1dzaj\u00faceho pr\u00edkladu tak, aby priamka bola rovnobe\u017en\u00e1 s osou y.","answers":["-2","-1","0","1"],"correct":"0","order":"2"},{"question":"Ktor\u00e9 z uveden\u00fdch mo\u017enost\u00ed je priamka, ktor\u00e1 je toto\u017en\u00e1 s priamkou p: x - 8y + 3 = 0","answers":["3x - 3y + 3 = 0","4x - 3y + 12 = 0","4x - 32y + 15 = 0","4x - 32y + 12 = 0"],"correct":"4x - 32y + 12 = 0","order":"3"},{"question":"Ktor\u00e9 z uveden\u00fdch mo\u017enost\u00ed je priamka, ktor\u00e1 je rovnobe\u017en\u00e1 s priamkou p: x - 8y + 3 = 0","answers":["3x - 3y + 3 = 0","4x - 3y + 12 = 0","4x - 32y + 15 = 0","4x - 32y + 12 = 0"],"correct":"4x - 32y + 15 = 0","order":"4"},{"question":"Ktor\u00e9 z uveden\u00fdch mo\u017enost\u00ed je priamka, ktor\u00e1 je r\u00f4znobe\u017en\u00e1 s priamkou p: x - 8y + 3 = 0","answers":["5x - 40y +15 = 0","4x - 3y + 12 = 0","4x - 32y + 15 = 0","4x - 32y + 12 = 0"],"correct":"4x - 3y + 12 = 0","order":"5"},{"question":"Ur\u010dte uhol, ktor\u00fd zvieraj\u00fa priamky p: x + y + 1 = 0 a q: x + 2y + 3 =0","answers":["18\u00b0","19\u00b0","20\u00b0","21\u00b0"],"correct":"18\u00b0","order":"6"},{"question":"Ur\u010dte uhol, ktor\u00fd zvieraj\u00fa priamky p: y = 8x + 5 a q: y = 5x + 8","answers":["0,4\u00b0","4\u00b0","40\u00b0","140\u00b0"],"correct":"4\u00b0","order":"7"},{"question":"Priamka q zviera s priamkou p (2x - y + 5 = 0) uhol 45\u00b0 a prech\u00e1dza bodom so s\u00faradnicami [1,3]. Ak\u00e1 je rovnica takejto priamky?","answers":["x - y + 8 = 0","x - 3y - 8 = 0","x + 3y + 8 = 0","x - 3y + 8 = 0"],"correct":"x - 3y + 8 = 0","order":"8"},{"question":"Pravouhl\u00fd trojuholn\u00edk je tvoren\u00fd priamkami p: x - 3y + 1 = 0, q: 2x + y + 7 = 0 a z:???. Ak\u00e1 je rovnica priamky z?","answers":["2x - 4y - 1 = 0","2x + 4y - 1 = 0","2x - 4y + 1 = 0","2x + 4y + 1 = 0"],"correct":"2x - 4y - 1 = 0","order":"9"},{"question":"Ak\u00e1 je rovnica priamky so smernicou k = 2, ktor\u00e1 prech\u00e1dza priese\u010dn\u00edkom priamok x - 5y + 1 = 0, 2x + 3y + 4 = 0?","answers":["2x - 13y + 44 = 0","26x -3y + 44 = 0","26x - 13y + 4 = 0","26x - 13y + 44 = 0"],"correct":"26x - 13y + 44 = 0","order":"10"}]