Question

The equation of a circle is given by ²/₃ x² + ²_/3 y²  - 4x+ 2 ²/₃ y - 2 = 0. Determine the centre and the radius of the circle.

Answer 1

³/₂ x ( ²/₃x² + ²/₃y² - 4x + 2 ²/₃y - 2=0)
= x² + y² - 6x + 4y -3 = 0
x² - 6x + 9 + y² + 4y + 4 = 3 + 9 + 4
(x - 3)² ( y +2)² = 4²
centre = (3,-2)
Radius = 4 units