Find the coordinates of the centre radius of each of the following circle:

Question

Find the coordinates of the centre radius of each of the following circle: 2x 2 + 2y 2 – 3x + 5y = 7

Philoid · Accepted Answer

Given equation of the circle is 2x² + 2y² - 3x + 5y = 7

⇒ ..... (1)

We know that for a circle x² + y² + 2ax + 2by + c = 0 …… (2)

⇒ Centre = (- a, - b)

⇒ Radius =

Comparing (1) with (2) we get,

⇒ Centre =

⇒ Radius =

∴ The centre and radius of the circle is and .