CircleHard

Question

The differential equation determines a family of circles with

Options

A.variable radii and a fixed centre at (0, 1)
B.variable radii and a fixed centre at (0, -1)
C.fixed radius 1 and variable centres along the x-axis
D.fixed radius 1 and variable centres along the y-axis

Solution


⇒     dy = ∫dx
⇒     = x + c
⇒     (x + c)2 + y2 = 1
centre (-c, 0); radius

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