The general solution of dy dx = ax+h by+k represents a circle only when

NDA 2017 Mathematics question

The general solution of represents a circle only when

Answer: (B)

(by+k)\,dy = (ax+h)\,dx \Rightarrow \dfrac{by^2}{2}+ky = \dfrac{ax^2}{2}+hx+C, i.e. $-+2hx-2ky+C'

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Question ID VK-028765