If the point (x, y) is equidistant from the points (2a, 0) and (0, 3a) where a>0, then which one of the following is correct?

NDA 2022 Mathematics question

If the point is equidistant from the points and where , then which one of the following is correct?

Answer: (C)

(x-2a)^2+y^2 = x^2+(y-3a)^2 \Rightarrow -4ax+4a^2 = -6ay+9a^2 \Rightarrow 4ax-6ay+5a^2 = 0. Dividing by : .

Question ID VK-029381