MHT CET 2024 Mathematics question

MathematicsDifferential EquationMHT CET 2024

The differential equation of family of circles whose centres are on the X-axis and also touch the Y-axis is

Answer: (A)

Solution

A circle with centre on the X-axis touching the Y-axis has radius , so , i.e. ... (1). There is one arbitrary constant , so differentiate once: , giving ... (2). From (1), . Equating with (2):

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Question ID VK-093108