3. In the following graph, two separate circles with centers Cj and C2, both on the y-axis, intersect the
quadratic y = r' at points A and B respectively. The straight lines C,A and C2B are parallel to the
X-axis, and the circles C, and C, both intersect the y-axis at points P and Q. The radius of C, is a, the
radius of C, is b, and PQ = 6. a and b are both natural numbers.
y
ソ=x?
b、B
C2
Q
P
トa
(CA
x
0
Answer the following questions.
(a) Solve for the values of a and b.
(b) Line / is tangent to both circles. Find the equation of line .