Find an equation of the circle with center at 65 that is tan

Find an equation of the circle with center at (6,5) that is tangent to the y-axis in the form of (x - A)^2 + (y - B)^2 = C where A, B, C are constant. Then A is: B is: C is: Let f(x) = {2x^2 + 7 x

Solution

1 . General equation of circle : (x-A)^2 + (y -B)^2 = C

(A, B) = centre = (6 , 5)

Tangent to y axis means radius = xcoordinate = 6 units

So, equation of circle : (x-6)^2 + (y - 5)^2 = 36

2) f(-3) valid piece of function :

f(x) = 2x^2 +7

f(-3) = 2*9 +7 = 25

f(2)valid piece of function :

f(x) =2

f(2) = 2

f(3) valid piece of function :

f(x) =2

f(3) =2

f(4) valid piece of function :

f(x) =2

f(4) =2

f(7) valid piece of function :

f(x) = 10 -x

f(7) = 10-7 = 3