What is the equation of the circle which passes through the points (3, -2) and (-2, 0) and having its centre on the line 2x-y-3=0?

NDA 2017 Mathematics question

What is the equation of the circle which passes through the points and and having its centre on the line ?

Answer: (B)

Let the centre be . Equal distances from the two points: , so the centre is

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Question ID VK-028626