JEE Main 2017 Mathematics question

MathematicsComplex NumbersJEE Main 2017

Let , the set of complex numbers. Then the equation represents:

Answer: (1)

Solution

The condition says the distances to the two fixed points and are in the constant ratio — an Apollonius circle, not a conic with foci. Put and square:

+ (y+ = + (y-.

Expanding,

+ + 24y + 36 = + - 2y + 1,

so

+ + 26y + 35 = 0

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Question ID VK-115825