Differential Equation dy/dx = sqrt(1

IIT JEE Advanced 2005 Maths Question Paper
MCQ (Single Correct Answer)
Marks: +2, -0.5
Question:
The differential equation

determines a family of circles with
Option A : Variable radii and a fixed center at (0, 1)
Option B : Variable radii and a fixed center at (0, -1)
Option C : Fixed radius 1 and variable centers along the x-axis
Option D : Fixed radius 1 and variable centers along the y-axis
Solution:
This question is asked in IIT JEE Advanced 2005 Maths Questions Paper and it is from Differential Equations Chapter.
The solution of this question is as below. 
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