3. In the following graph, two separate circles with centers Cj and C2, both on the y-axis, intersect the
quadratic y = x at points A andB respectively. The straight lines CiA and CzB are parallel to the
X-axis, and the circles C, and Cz both intersect the y-axis at points P and Q. The radius of C, is a, the
radius of C2 is b, and PQ = 6. a and b are both natural numbers.
y
ソ=x?
b、B
C2
Q
P
ra
CYA
x
0
Answer the following questions.
(a) Solve for the values of a and b.
(b) Line l is tangent to both circles. Find the equation of line I.