The equation of the locus of a point equidistant from the points (a, b) and (c, d) is (a-c)x+(b-d)y+k=0. What is the value of k?

NDA 2025 Mathematics question

The equation of the locus of a point equidistant from the points and is . What is the value of ?

Answer: (D)

Let be equidistant from the two points: . Cancelling : a^2b^2$ =

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Question ID VK-030189