3.3-bo'lim: Davralar

1. Radiusi 3 va markazi \(\left( {6,0} \right)\) bo‘lgan aylana tenglamasini yozing. Yechim
2. Radiusi \(\sqrt 7 \) va markazi \(\left( { - 1, - 9} \right)\) bo‘lgan aylana tenglamasini yozing. Yechim

3-5-masalalar uchun aylananing radiusi va markazini aniqlang va aylananing grafigini chizing.

1. \({\left( {x - 9} \right)^2} + {\left( {y + 4} \right)^2} = 25\) Yechim
2. \({x^2} + {\left( {y - 5} \right)^2} = 4\) Yechim
3. \({\left( {x + 1} \right)^2} + {\left( {y + 3} \right)^2} = 6\) Yechim

6-8-masalalar uchun aylananing radiusi va markazini aniqlang. Agar tenglama aylana tenglamasi bo'lmasa, nima uchun buni aniq tushuntiring.

1. \({x^2} + {y^2} + 14x - 8y + 56 = 0\) Yechim
2. \(9{x^2} + 9{y^2} - 6x - 36y - 107 = 0\) Yechim
3. \({x^2} + {y^2} + 8x + 20 = 0\) Yechim