adalah …
Penyelesaian:
Panjang sumbu mayor = 10 ➞ a = 5
c = 3 ➞ b = √a² – c²
b = √25 – 9 = 4
Elips : (x – h)² ₊ (y – k)² ₌ 1
a² b²
h = 5; k = 1
Persamaan elips:
(x – 5)² ₊ (y – 1)² ₌ 1
25 16
16(x² – 10x + 25) + 25(y² – 2y + 1) = 25 × 16
16x² – 160x + 16 × 25 + 25y² – 50y + 25 – 25 × 16 = 0
16x² + 25y² – 160x – 50y + 25 = 0