MHT CET 2023 Mathematics question

The differential equation of all circles which pass through the origin and whose centres lie on Y-axis is

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

A circle through the origin with centre on the Y-axis is , so . Differentiate (eliminating the one arbitrary constant ): , i.e. . Substitute : $y - k =

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Question ID VK-094640