Complex Numbers Part 2

C1:|z−(4+3i)|=2‌ and ‌C2:|z|+|z−4|=6,z∈C
C1 represents a circle with centre (4,3) and radius 2 and C2 represents a ellipse with focii at (0,0) and (4,0) and length of major axis =6, and length of semi-major axis 2√5 and (4,2) lies inside the both C1 and C2 and (4,3) lies outside the C2 ∴ number of intersection points =2