Asosiy tarkibga o'tish

3.3-bo'lim : Davralar


  1. Radiusi 1 va markazi \(\left( {11,4} \right)\) bo‘lgan aylana tenglamasini yozing.
  2. Radiusi 10 va markazi \(\left( { - 6,0} \right)\) bo‘lgan aylana tenglamasini yozing.
  3. Radiusi \(\sqrt {19} \) va markazi \(\left( {7, - 2} \right)\) bo‘lgan aylana tenglamasini yozing.
  4. Radiusi \(\frac{7}{3}\) va markazi \(\displaystyle \left( { - \frac{1}{2},\frac{3}{4}} \right)\) bo‘lgan aylana tenglamasini yozing.

5-10-masalalar uchun aylananing radiusi va markazini aniqlang va aylananing grafigini chizing.

  1. \({\left( {x + 8} \right)^2} + {y^2} = 36\)
  2. \({\left( {x - 1} \right)^2} + {\left( {y - 7} \right)^2} = 16\)
  3. \({\left( {x + 10} \right)^2} + {\left( {y - 6} \right)^2} = 25\)
  4. \(\displaystyle {x^2} + {\left( {y + 4} \right)^2} = \frac{{49}}{{144}}\)
  5. \({\left( {x + 2} \right)^2} + {\left( {y - 1} \right)^2} = 3\)
  6. \({\left( {x - 5} \right)^2} + {\left( {y - 3} \right)^2} = 11\)

11-17-masalalar uchun aylananing radiusi va markazini aniqlang. Agar tenglama aylana tenglamasi bo'lmasa, nima uchun buni aniq tushuntiring.

  1. \({x^2} + {y^2} - 8y = 0\)
  2. \({x^2} + {y^2} - 6x - 4y - 12 = 0\)
  3. \({x^2} + {y^2} + 12x + 2y + 28 = 0\)
  4. \(16{x^2} + 16{y^2} - 16x + 8y - 11 = 0\)
  5. \(2{x^2} + 2{y^2} - 3x + 1 = 0\)
  6. \({x^2} + {y^2} + 2x - 2y + 11 = 0\)
  7. \({x^2} + {y^2} - 10x + 4y + 29 = 0\)