{"paper":{"id":"site-5358","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":null,"variant":null,"exam_pdf":null,"key_pdf":null,"question_count":5,"source_label":"Matematyka · Zbiory zadań","subject_label":"Matematyka","category_label":"Zbiory zadań"},"questions":[{"id":"site-5358/zad/3155","paper_id":"site-5358","number":"3155","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":null,"text":"Ile punktów wspólnych ma prosta o równaniu y=-x+2 z okręgiem o środku w początku układu współrzędnych i promieniu 2?","answer":null,"answer_text":null,"solution":null,"image":"img/site/5358/zad-3155.svg","solution_image":"img/site/5358/rozw-3155.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-5358/zad/3156","paper_id":"site-5358","number":"3156","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":null,"text":"Wskaż równanie okręgu o środku S=(1,-2) i promieniu r=2. A. (x-1)^2+(y-2)^2=2, B. (x+1)^2+(y-2)^2=2, C. (x-1)^2+(y+2)^2=4, D. (x+1)^2+(y-2)^2=4","answer":null,"answer_text":null,"solution":null,"image":"img/site/5358/zad-3156.svg","solution_image":"img/site/5358/rozw-3156.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-5358/zad/3157","paper_id":"site-5358","number":"3157","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":null,"text":"Punkty A=(-1,3) i C=(7,9) są przeciwległymi wierzchołkami prostokąta ABCD. Promień okręgu opisanego na tym prostokącie jest równy A. 10, B. 6 pierwiastków z 2, C. 5, D. 3 pierwiastki z 2","answer":null,"answer_text":null,"solution":null,"image":"img/site/5358/zad-3157.svg","solution_image":"img/site/5358/rozw-3157.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-5358/zad/3158","paper_id":"site-5358","number":"3158","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":null,"text":"Liczba punktów wspólnych okręgu o równaniu (x+3)^2+(y-1)^2 = 4 z osiami układu współrzędnych jest równa A. 0, B. 1, C. 2, D. 4","answer":null,"answer_text":null,"solution":null,"image":"img/site/5358/zad-3158.svg","solution_image":"img/site/5358/rozw-3158.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-5358/zad/3159","paper_id":"site-5358","number":"3159","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":null,"text":"Środek S okręgu o równaniu x^2+y^2+4x-6y-221=0 ma współrzędne A. S=(-2,3), B. S=(2,-3), C. S=(-4,6), D. S=(4,-6)","answer":null,"answer_text":null,"solution":null,"image":"img/site/5358/zad-3159.svg","solution_image":"img/site/5358/rozw-3159.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań","subject_label":"Matematyka","category_label":"Zbiory zadań"}]}