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JEE Main 2002 Mathematics question

MathematicsComplex NumbersJEE Main 2002

The locus of the centre of a circle which touches the circle and externally ( and are complex numbers) will be

Answer: (2)

Solution

Let the variable circle have centre and radius . External tangency gives and . Subtracting, , a constant. The locus of a point whose

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Question ID VK-037995