QJEEM22Ma2f11: JEE Main 2022 Mathematics - Class 11 JEEM22Ma2f11 Solution: The number of points of intersection of

$$C_1:|z-(4+3i)|=2$$ and $$C_2:|z|+|z-4|=6$$, $$z\in C$$

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$$\sqrt{5}$$ and (4, 2) lies inside the both C₁ and C₂ and (4, 3) lies outside the C₂

$$\therefore$$ number of intersection points = 2