4.3-bo'lim: Ellipslar

1-3 muammolar uchun ellipsni chizing.

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

4 va 5-masalalar uchun tenglamaning \(x\) va \(y\) qismlaridagi kvadratni to'ldiring va tenglamani ellips tenglamasining standart shakliga yozing.

1. \({x^2} + 8x + 3{y^2} - 6y + 7 = 0\) Yechim
2. \(9{x^2} + 126x + 4{y^2} - 32y + 469 = 0\) Yechim