JEE Main 2022 Mathematics question

The number of points of intersection of |z − (4 + 3i)| = 2 and |z| + |z − 4| = 6, z C, is

Answer: (3)

Solution

: |z − (4 + 3i)| = 2 is a circle with centre (4, 3) and radius 2. : |z| + |z − 4| = 6 is an ellipse with foci (0, 0) and (4, 0), major axis 6 and

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Question ID VK-034506