The point of symmetry for this circle is (0, 0).

the point of symmetry for this circle is (1,1)

(1,1)

Step-by-step explanation: This is because all of the points around (1,1) are equidistant and therefore symmetrical

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

it is contrapositive

i could not see the question too well so check yourself again too . this is because i want you to get it correct.