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MathsMediumMCQ2022 · 27 Jun Shift 2

Q61.The number of points of intersection |z −(4 + 3i)| = 2| and |z| + |z −4| = 6, z ∈C is (1) 1 (2) 2 (3) 3 (4) 4

What This Question Tests

Tests the ability to interpret complex number equations geometrically as a circle and an ellipse, and then find the number of points of intersection between them.

Concepts Tested

Equation of circle in complex planeEquation of ellipse in complex planeGeometric interpretation of complex numbersPoints of intersection

Formulas Used

|z-z0| = r

|z-z1| + |z-z2| = k

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