Question

Find the center of the circle whose equation is 3x² + 3y² = 75.

Answer 1

3x^2 + 3y^2 = 75 

Dividing through by 3 we get

x^2 + y^2 = 25 

The center is at (0,0) answer

Answer 2

Answer:

Center = (0,0)

Step-by-step explanation:

The standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$           ..... (1)

where, (h,k) is the center of the circle and r is radius.

The given equation is

$3x^2+3y^2=75$

Divide both sides by 3.

$x^2+y^2=25$

$x^2+y^2=5^2$           ..... (2)

On comparing (1) and (2) we get

h=0, k=0, r=5

Therefore, the center of the circle is (0,0) and radius of the circle is 5.